Details

sample448.0ms

Algorithm

intervals

Results

172.0ms	49×	body	1280	valid
87.0ms	43×	body	640	valid
43.0ms	26×	body	320	valid
38.0ms	256×	pre	80	true
19.0ms	129×	body	80	valid
2.0ms	9×	body	160	valid

simplify38.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
4	24
3	23
2	20
1	14
0	9

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1.0))
0.2b	(* e (/ (sin v) (fma (cos v) e 1.0)))

rewrite389.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

15.0ms	(/ (sin v) (fma (cos v) e 1.0))
27.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

series247.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(/ (sin v) (fma (cos v) e 1.0))
151.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

simplify1.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1521
1	333
0	130

prune417.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* e (sin v)) (fma (cos v) e 1.0))
0.2b	(* e (sin v))

rewrite24.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

9.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
14.0ms	(* e (sin v))

series229.0ms

Counts

2 → 6

Calls

2 calls:

155.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
73.0ms	(* e (sin v))

simplify1.1s

Counts

49 → 49

Iterations

Iter	Nodes
done	5001
2	1158
1	229
0	93

prune357.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1.0))
0.1b	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
0.2b	(* e (log1p (expm1 (/ (sin v) (fma (cos v) e 1.0)))))
0.2b	(log1p (expm1 (/ (sin v) (fma (cos v) e 1.0))))

rewrite14.0ms

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` `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 → 71

Calls

4 calls:

7.0ms	(/ (sin v) (fma (cos v) e 1.0))
0.0ms	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
6.0ms	(* e (log1p (expm1 (/ (sin v) (fma (cos v) e 1.0)))))
0.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1.0))))

series585.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (sin v) (fma (cos v) e 1.0))
125.0ms	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
230.0ms	(* e (log1p (expm1 (/ (sin v) (fma (cos v) e 1.0)))))
144.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1.0))))

simplify1.5s

Counts

83 → 83

Iterations

Iter	Nodes
done	5002
2	1902
1	374
0	156

prune573.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
0.2b	(* e (log1p (log1p (expm1 (expm1 (/ (sin v) (fma (cos v) e 1.0)))))))
0.2b	(expm1 (expm1 (/ (sin v) (fma (cos v) e 1.0))))
0.2b	(log1p (log1p (expm1 (expm1 (/ (sin v) (fma (cos v) e 1.0))))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u`
5×	`expm1-log1p-u`
4×	`add-log-exp`
3×	`associate-r` `associate-l`
2×	`expm1-log1p` `expm1-udef`
1×	`log1p-udef` `pow-prod-down` `prod-exp` `log1p-expm1` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 53

Calls

4 calls:

0.0ms	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
5.0ms	(* e (log1p (log1p (expm1 (expm1 (/ (sin v) (fma (cos v) e 1.0)))))))
0.0ms	(expm1 (expm1 (/ (sin v) (fma (cos v) e 1.0))))
0.0ms	(log1p (log1p (expm1 (expm1 (/ (sin v) (fma (cos v) e 1.0))))))

series976.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
477.0ms	(* e (log1p (log1p (expm1 (expm1 (/ (sin v) (fma (cos v) e 1.0)))))))
172.0ms	(expm1 (expm1 (/ (sin v) (fma (cos v) e 1.0))))
199.0ms	(log1p (log1p (expm1 (expm1 (/ (sin v) (fma (cos v) e 1.0))))))

simplify1.3s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
2	1617
1	338
0	133

prune520.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes198.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.7s	1482×	body	1280	valid
712.0ms	1247×	body	640	valid
493.0ms	4281×	body	80	valid
344.0ms	8000×	pre	80	true
309.0ms	655×	body	320	valid
75.0ms	335×	body	160	valid