Details

sample283.0ms

Algorithm

intervals

Results

116.0ms	50×	body	1280	valid
28.0ms	32×	body	640	valid
26.0ms	138×	body	80	valid
15.0ms	24×	body	320	valid
12.0ms	256×	pre	80	true
4.0ms	12×	body	160	valid

simplify48.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	26
5	26
4	25
3	23
2	20
1	16
0	9

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

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)

rewrite41.0ms

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:

12.0ms	(/ (sin v) (fma (cos v) e 1))
27.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

series202.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ (sin v) (fma (cos v) e 1))
140.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

simplify1.1s

Counts

71 → 71

Iterations

Iter	Nodes
3	2916
2	941
1	300
0	125

prune698.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

526×	`times-frac`
306×	`add-sqr-sqrt`
281×	`*-un-lft-identity` `add-cube-cbrt`
272×	`sqrt-prod`
136×	`associate-l`
25×	`associate-/l*`
20×	`add-cbrt-cube` `add-exp-log`
16×	`div-inv`
12×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `div-exp` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/`

Counts

4 → 401

Calls

4 calls:

1.0ms	(sqrt (fma (cos v) e 1))
26.0ms	(/ (/ (sin v) (sqrt (fma (cos v) e 1))) (sqrt (fma (cos v) e 1)))
17.0ms	(/ (sin v) (sqrt (fma (cos v) e 1)))
45.0ms	(* (/ (/ (sin v) (sqrt (fma (cos v) e 1))) (sqrt (fma (cos v) e 1))) e)

series397.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sqrt (fma (cos v) e 1))
64.0ms	(/ (/ (sin v) (sqrt (fma (cos v) e 1))) (sqrt (fma (cos v) e 1)))
136.0ms	(/ (sin v) (sqrt (fma (cos v) e 1)))
137.0ms	(* (/ (/ (sin v) (sqrt (fma (cos v) e 1))) (sqrt (fma (cos v) e 1))) e)

simplify1.4s

Counts

413 → 413

Iterations

Iter	Nodes
2	2870
1	1039
0	414

prune5.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

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))))

rewrite16.0ms

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:

8.0ms	(/ (sin v) (fma (cos v) e 1))
6.0ms	(* (log1p (expm1 (/ (sin v) (fma (cos v) e 1)))) e)
0.0ms	(expm1 (/ (sin v) (fma (cos v) e 1)))
0.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1))))

series512.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(/ (sin v) (fma (cos v) e 1))
187.0ms	(* (log1p (expm1 (/ (sin v) (fma (cos v) e 1)))) e)
107.0ms	(expm1 (/ (sin v) (fma (cos v) e 1)))
146.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1))))

simplify1.9s

Counts

87 → 87

Iterations

Iter	Nodes
3	4610
2	1116
1	327
0	150

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (fma (cos v) e 1) (sin v))
0.1b	(* (/ 1 (/ (fma (cos v) e 1) (sin v))) e)
0.3b	(/ 1 (/ (fma (cos v) e 1) (sin v)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-l`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-r` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 184

Calls

3 calls:

5.0ms	(/ (fma (cos v) e 1) (sin v))
27.0ms	(* (/ 1 (/ (fma (cos v) e 1) (sin v))) e)
15.0ms	(/ 1 (/ (fma (cos v) e 1) (sin v)))

series302.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(/ (fma (cos v) e 1) (sin v))
138.0ms	(* (/ 1 (/ (fma (cos v) e 1) (sin v))) e)
63.0ms	(/ 1 (/ (fma (cos v) e 1) (sin v)))

simplify2.9s

Counts

193 → 193

Iterations

Iter	Nodes
3	7109
2	1881
1	680
0	268

prune2.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes108.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	13
1	13
0	10

end0.0ms

sample5.6s

Algorithm

intervals

Results

1.8s	1498×	body	1280	valid
1.2s	1250×	body	640	valid
952.0ms	4317×	body	80	valid
827.0ms	8000×	pre	80	true
433.0ms	624×	body	320	valid
115.0ms	311×	body	160	valid