Details

sample347.0ms

Algorithm

intervals

Results

75.0ms	51×	body	1280	valid
64.0ms	256×	pre	80	true
34.0ms	145×	body	80	valid
34.0ms	34×	body	640	valid
11.0ms	15×	body	320	valid
6.0ms	11×	body	160	valid

simplify44.0ms

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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)

rewrite38.0ms

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:

13.0ms	(/ (sin v) (fma (cos v) e 1))
23.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

series206.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ (sin v) (fma (cos v) e 1))
140.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

simplify1.3s

Counts

71 → 71

Iterations

Iter	Nodes
done	2003
3	2003
2	879
1	300
0	125

prune379.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

23.0ms	(/ (* (sin v) e) (fma (cos v) e 1))
18.0ms	(* (sin v) e)

series202.0ms

Counts

2 → 6

Calls

2 calls:

135.0ms	(/ (* (sin v) e) (fma (cos v) e 1))
67.0ms	(* (sin v) e)

simplify1.2s

Counts

51 → 51

Iterations

Iter	Nodes
done	2012
3	2012
2	721
1	217
0	92

prune335.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1))
0.1b	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
0.1b	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
0.3b	(log1p (/ (sin v) (fma (cos v) e 1)))

rewrite35.0ms

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×	`expm1-log1p-u`
4×	`insert-posit16` `log1p-expm1-u` `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:

21.0ms	(/ (sin v) (fma (cos v) e 1))
0.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
12.0ms	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
1.0ms	(log1p (/ (sin v) (fma (cos v) e 1)))

series534.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(/ (sin v) (fma (cos v) e 1))
147.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
180.0ms	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
124.0ms	(log1p (/ (sin v) (fma (cos v) e 1)))

simplify1.3s

Counts

87 → 87

Iterations

Iter	Nodes
done	2013
3	2013
2	1125
1	331
0	151

prune687.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma (cos v) e 1) e)
0.2b	(/ (sin v) (/ (fma (cos v) e 1) e))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 103

Calls

2 calls:

8.0ms	(/ (fma (cos v) e 1) e)
20.0ms	(/ (sin v) (/ (fma (cos v) e 1) e))

series234.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(/ (fma (cos v) e 1) e)
137.0ms	(/ (sin v) (/ (fma (cos v) e 1) e))

simplify1.2s

Counts

109 → 109

Iterations

Iter	Nodes
done	2015
3	2015
2	1379
1	461
0	190

prune631.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample6.6s

Algorithm

intervals

Results

2.1s	1488×	body	1280	valid
1.7s	1221×	body	640	valid
1.5s	4299×	body	80	valid
524.0ms	683×	body	320	valid
396.0ms	8000×	pre	80	true
211.0ms	309×	body	160	valid