Details

sample396.0ms

Algorithm

intervals

Results

209.0ms	138×	body	80	valid
55.0ms	53×	body	1280	valid
18.0ms	28×	body	640	valid
14.0ms	28×	body	320	valid
7.0ms	256×	pre	80	true
3.0ms	9×	body	160	valid

simplify44.0ms

Counts

1 → 1

Iterations

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

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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)

rewrite69.0ms

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:

14.0ms	(/ (sin v) (fma (cos v) e 1.0))
49.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) e)

series227.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(/ (sin v) (fma (cos v) e 1.0))
147.0ms	(* (/ (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

prune513.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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` `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 → 181

Calls

3 calls:

34.0ms	(* (/ 1 (/ (fma (cos v) e 1.0) (sin v))) e)
5.0ms	(/ (fma (cos v) e 1.0) (sin v))
10.0ms	(/ 1 (/ (fma (cos v) e 1.0) (sin v)))

series306.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(* (/ 1 (/ (fma (cos v) e 1.0) (sin v))) e)
105.0ms	(/ (fma (cos v) e 1.0) (sin v))
71.0ms	(/ 1 (/ (fma (cos v) e 1.0) (sin v)))

simplify1.5s

Counts

190 → 190

Iterations

Iter	Nodes
done	5001
2	2290
1	741
0	275

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))
0.3b	(* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt e))

rewrite117.0ms

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:

13.0ms	(/ (sin v) (fma (cos v) e 1.0))
33.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e))
66.0ms	(* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt e))

series370.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ (sin v) (fma (cos v) e 1.0))
165.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e))
140.0ms	(* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt e))

simplify1.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5026
2	2119
1	538
0	192

prune763.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt e))
0.2b	(* (* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt (sqrt e))) (sqrt (sqrt e)))
0.3b	(* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e))
0.3b	(* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt (sqrt e)))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt` `sqrt-prod`
32×	`add-cbrt-cube` `add-exp-log`
24×	`associate-r`
22×	`pow1`
21×	`*-un-lft-identity` `add-cube-cbrt`
16×	`prod-exp` `cbrt-unprod`
15×	`associate-l`
11×	`times-frac`
10×	`pow-prod-down`
6×	`associate-*l/`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `*-commutative`
2×	`rem-sqrt-square` `pow1/2`
1×	`div-inv`

Counts

4 → 121

Calls

4 calls:

5.0ms	(sqrt (sqrt e))
181.0ms	(* (* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt (sqrt e))) (sqrt (sqrt e)))
24.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e))
56.0ms	(* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt (sqrt e)))

series693.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(sqrt (sqrt e))
128.0ms	(* (* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt (sqrt e))) (sqrt (sqrt e)))
174.0ms	(* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e))
193.0ms	(* (* (/ (sin v) (fma (cos v) e 1.0)) (sqrt e)) (sqrt (sqrt e)))

simplify3.0s

Counts

133 → 133

Iterations

Iter	Nodes
done	5023
2	3423
1	868
0	295

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes169.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.8s	1499×	body	1280	valid
886.0ms	1259×	body	640	valid
673.0ms	4268×	body	80	valid
234.0ms	666×	body	320	valid
215.0ms	8000×	pre	80	true
80.0ms	308×	body	160	valid