Details

sample172.0ms

Algorithm

intervals

Results

32.0ms	39×	body	1280	valid
20.0ms	38×	body	640	valid
16.0ms	143×	body	80	valid
6.0ms	19×	body	320	valid
6.0ms	256×	pre	80	true
4.0ms	17×	body	160	valid

simplify293.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
5	24
4	23
3	21
2	18
1	14
0	9

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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

Counts

2 → 63

Calls

2 calls:

7.0ms	(/ (sin v) (fma (cos v) e 1.0))
16.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) e)

series264.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(/ (sin v) (fma (cos v) e 1.0))
176.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) e)

simplify2.7s

Counts

69 → 69

Iterations

Iter	Nodes
done	5041
3	4059
2	1025
1	328
0	131

prune523.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:

4.0ms	(/ e (fma e (cos v) 1.0))
23.0ms	(* (sin v) (/ e (fma e (cos v) 1.0)))

series186.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(/ e (fma e (cos v) 1.0))
95.0ms	(* (sin v) (/ e (fma e (cos v) 1.0)))

simplify3.0s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	4981
2	1207
1	325
0	128

prune472.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fma e (cos v) 1.0) e)
0.1b	(* (sin v) (/ 1 (/ (fma e (cos v) 1.0) e)))
0.2b	(/ 1 (/ (fma e (cos v) 1.0) e))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
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-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 182

Calls

3 calls:

7.0ms	(/ (fma e (cos v) 1.0) e)
43.0ms	(* (sin v) (/ 1 (/ (fma e (cos v) 1.0) e)))
17.0ms	(/ 1 (/ (fma e (cos v) 1.0) e))

series304.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(/ (fma e (cos v) 1.0) e)
128.0ms	(* (sin v) (/ 1 (/ (fma e (cos v) 1.0) e)))
94.0ms	(/ 1 (/ (fma e (cos v) 1.0) e))

simplify1.7s

Counts

191 → 191

Iterations

Iter	Nodes
done	5146
2	2464
1	729
0	268

prune1.3s

Pruning

9 alts after pruning (7 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))
0.3b	(* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt e))
0.3b	(* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e))

rewrite87.0ms

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/` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`*-commutative` `div-inv`
1×	`clear-num` `frac-2neg`

Counts

3 → 94

Calls

3 calls:

7.0ms	(/ (sin v) (fma (cos v) e 1.0))
62.0ms	(* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt e))
16.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e))

series381.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (sin v) (fma (cos v) e 1.0))
110.0ms	(* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt e))
184.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e))

simplify1.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5011
2	2118
1	538
0	192

prune648.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes197.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.4s	1507×	body	1280	valid
976.0ms	4271×	body	80	valid
739.0ms	1274×	body	640	valid
193.0ms	617×	body	320	valid
143.0ms	8000×	pre	80	true
116.0ms	331×	body	160	valid