Details

sample227.0ms

Algorithm

intervals

Results

66.0ms	39×	body	1280	valid
52.0ms	147×	body	80	valid
29.0ms	41×	body	640	valid
9.0ms	256×	pre	80	true
8.0ms	15×	body	320	valid
4.0ms	14×	body	160	valid

simplify187.0ms

Counts

1 → 1

Iterations

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

prune579.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

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)

rewrite51.0ms

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:

18.0ms	(/ (sin v) (fma (cos v) e 1))
29.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

series301.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(/ (sin v) (fma (cos v) e 1))
188.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

simplify1.1s

Counts

71 → 71

Iterations

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

prune732.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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)

rewrite24.0ms

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:

11.0ms	(/ (sin v) (fma (cos v) e 1))
12.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

series198.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(/ (sin v) (fma (cos v) e 1))
108.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

simplify1.2s

Counts

71 → 71

Iterations

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

prune701.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

1.0ms	(cbrt (fma (cos v) e 1))
2.0ms	(cbrt (fma (cos v) e 1))
1.0ms	(cbrt (fma (cos v) e 1))
21.0ms	(* (/ (sin v) (cbrt (fma (cos v) e 1))) e)

series480.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt (fma (cos v) e 1))
114.0ms	(cbrt (fma (cos v) e 1))
87.0ms	(cbrt (fma (cos v) e 1))
184.0ms	(* (/ (sin v) (cbrt (fma (cos v) e 1))) e)

simplify1.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	2003
3	2003
2	1194
1	410
0	165

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1))
0.2b	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
0.3b	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))

rewrite100.0ms

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/` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`*-commutative` `div-inv`
1×	`clear-num` `frac-2neg`

Counts

3 → 97

Calls

3 calls:

9.0ms	(/ (sin v) (fma (cos v) e 1))
26.0ms	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
63.0ms	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))

series351.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ (sin v) (fma (cos v) e 1))
139.0ms	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
128.0ms	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))

simplify1.7s

Counts

106 → 106

Iterations

Iter	Nodes
done	2004
3	2004
2	1969
1	511
0	187

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes97.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.0s	1494×	body	1280	valid
1.3s	4323×	body	80	valid
1.1s	1211×	body	640	valid
447.0ms	656×	body	320	valid
346.0ms	8000×	pre	80	true
123.0ms	316×	body	160	valid