Details

sample305.0ms

Algorithm

intervals

Results

72.0ms	58×	body	1280	valid
64.0ms	32×	body	640	valid
28.0ms	135×	body	80	valid
15.0ms	27×	body	320	valid
12.0ms	256×	pre	80	true
2.0ms	4×	body	160	valid

simplify26.0ms

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize58.0ms

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)

rewrite47.0ms

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:

17.0ms	(/ (sin v) (fma (cos v) e 1))
26.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

series197.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ (sin v) (fma (cos v) e 1))
124.0ms	(* (/ (sin v) (fma (cos v) e 1)) e)

simplify5.4s

Counts

71 → 71

Iterations

Iter	Nodes
3	3229
2	943
1	298
0	125

prune666.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

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

rewrite33.0ms

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:

17.0ms	(/ (sin v) (fma (cos v) e 1))
13.0ms	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
0.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
1.0ms	(log1p (/ (sin v) (fma (cos v) e 1)))

series476.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (sin v) (fma (cos v) e 1))
160.0ms	(* (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))) e)
118.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
144.0ms	(log1p (/ (sin v) (fma (cos v) e 1)))

simplify2.1s

Counts

87 → 87

Iterations

Iter	Nodes
3	4579
2	1103
1	329
0	151

prune908.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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

rewrite65.0ms

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:

10.0ms	(/ (sin v) (fma (cos v) e 1))
38.0ms	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))
15.0ms	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))

series373.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ (sin v) (fma (cos v) e 1))
130.0ms	(* (* (/ (sin v) (fma (cos v) e 1)) (sqrt e)) (sqrt e))
164.0ms	(* (/ (sin v) (fma (cos v) e 1)) (sqrt e))

simplify20.8s

Counts

106 → 106

Iterations

Iter	Nodes
3	8078
2	1915
1	505
0	187

prune975.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt e) (fabs (cbrt e))) (sin v))
0.4b	(* (sqrt e) (fabs (cbrt e)))
0.7b	(cbrt e)
0.7b	(cbrt e)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
6×	`cbrt-prod` `associate-r`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

46.0ms	(* (* (sqrt e) (fabs (cbrt e))) (sin v))
10.0ms	(* (sqrt e) (fabs (cbrt e)))
6.0ms	(cbrt e)
1.0ms	(cbrt e)

series738.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (* (sqrt e) (fabs (cbrt e))) (sin v))
46.0ms	(* (sqrt e) (fabs (cbrt e)))
255.0ms	(cbrt e)
291.0ms	(cbrt e)

simplify2.4s

Counts

86 → 86

Iterations

Iter	Nodes
3	4414
2	1198
1	408
0	157

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes175.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	11
1	11
0	10

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.9s	1509×	body	1280	valid
1.2s	1238×	body	640	valid
969.0ms	4349×	body	80	valid
379.0ms	626×	body	320	valid
301.0ms	8000×	pre	80	true
136.0ms	278×	body	160	valid