Details

sample305.0ms

Algorithm

intervals

Results

44.0ms	38×	body	1280	valid
41.0ms	44×	body	640	valid
26.0ms	135×	body	80	valid
18.0ms	30×	body	320	valid
12.0ms	256×	pre	80	true
4.0ms	9×	body	160	valid

simplify42.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	24
5	24
4	23
3	21
2	18
1	14
0	9

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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:

16.0ms	(/ (sin v) (fma (cos v) e 1))
31.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

series215.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(/ (sin v) (fma (cos v) e 1))
152.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

simplify4.9s

Counts

71 → 71

Iterations

Iter	Nodes
3	3229
2	943
1	298
0	125

prune334.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

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))

rewrite64.0ms

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:

8.0ms	(/ (sin v) (fma (cos v) e 1))
13.0ms	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
41.0ms	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))

series346.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(/ (sin v) (fma (cos v) e 1))
159.0ms	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
103.0ms	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))

simplify18.7s

Counts

106 → 106

Iterations

Iter	Nodes
3	7878
2	1904
1	505
0	187

prune596.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1))
0.1b	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
0.2b	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
0.4b	(log1p (/ (sin v) (fma (cos v) e 1)))

rewrite15.0ms

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×	`expm1-log1p-u`
4×	`insert-posit16` `log1p-expm1-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 → 75

Calls

4 calls:

8.0ms	(/ (sin v) (fma (cos v) e 1))
6.0ms	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
0.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
0.0ms	(log1p (/ (sin v) (fma (cos v) e 1)))

series480.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ (sin v) (fma (cos v) e 1))
161.0ms	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
126.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
126.0ms	(log1p (/ (sin v) (fma (cos v) e 1)))

simplify2.2s

Counts

87 → 87

Iterations

Iter	Nodes
3	4579
2	1103
1	329
0	151

prune449.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite280.0ms

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` `insert-posit16` `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 → 125

Calls

4 calls:

4.0ms	(sqrt (sqrt e))
20.0ms	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
187.0ms	(* (* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt (sqrt e))) (sqrt (sqrt e)))
66.0ms	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt (sqrt e)))

series668.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(sqrt (sqrt e))
155.0ms	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))
131.0ms	(* (* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt (sqrt e))) (sqrt (sqrt e)))
180.0ms	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt (sqrt e)))

simplify1.2s

Counts

137 → 137

Iterations

Iter	Nodes
2	3093
1	814
0	287

prune816.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes164.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	9
1	9
0	8

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.0s	1518×	body	1280	valid
1.7s	1269×	body	640	valid
882.0ms	4279×	body	80	valid
756.0ms	638×	body	320	valid
321.0ms	8000×	pre	80	true
171.0ms	296×	body	160	valid