Details

sample274.0ms

Algorithm

intervals

Results

98.0ms	46×	body	1280	valid
31.0ms	38×	body	640	valid
24.0ms	136×	body	80	valid
14.0ms	24×	body	320	valid
10.0ms	256×	pre	80	true
4.0ms	12×	body	160	valid

simplify184.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
4	26
3	25
2	22
1	16
0	9

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 2 expressions with local error:

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

rewrite119.0ms

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` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 65

Calls

2 calls:

52.0ms	(/ (sin v) (fma (cos v) e 1))
61.0ms	(* e (/ (sin v) (fma (cos v) e 1)))

series288.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (sin v) (fma (cos v) e 1))
230.0ms	(* e (/ (sin v) (fma (cos v) e 1)))

simplify1.4s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1362
1	301
0	123

prune390.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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:

16.0ms	(/ (* e (sin v)) (fma (cos v) e 1))
9.0ms	(* e (sin v))

series174.0ms

Counts

2 → 6

Calls

2 calls:

133.0ms	(/ (* e (sin v)) (fma (cos v) e 1))
41.0ms	(* e (sin v))

simplify995.0ms

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
2	1064
1	210
0	89

prune284.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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:

17.0ms	(/ (sin v) (fma (cos v) e 1))
7.0ms	(* e (log1p (expm1 (/ (sin v) (fma (cos v) e 1)))))
0.0ms	(expm1 (/ (sin v) (fma (cos v) e 1)))
0.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1))))

series457.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (sin v) (fma (cos v) e 1))
160.0ms	(* e (log1p (expm1 (/ (sin v) (fma (cos v) e 1)))))
115.0ms	(expm1 (/ (sin v) (fma (cos v) e 1)))
118.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1))))

simplify1.3s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1688
1	334
0	148

prune614.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (fma (cos v) e 1) (sin v))
0.2b	(/ e (/ (fma (cos v) e 1) (sin v)))

rewrite14.0ms

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:

5.0ms	(/ (fma (cos v) e 1) (sin v))
8.0ms	(/ e (/ (fma (cos v) e 1) (sin v)))

series221.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(/ (fma (cos v) e 1) (sin v))
126.0ms	(/ e (/ (fma (cos v) e 1) (sin v)))

simplify1.3s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	2118
1	461
0	191

prune644.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes151.0ms

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	10

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.3s	1506×	body	1280	valid
1.7s	1341×	body	640	valid
828.0ms	4211×	body	80	valid
418.0ms	608×	body	320	valid
400.0ms	8000×	pre	80	true
206.0ms	334×	body	160	valid