Details

sample334.0ms

Algorithm

intervals

Results

117.0ms	59×	body	1280	valid
41.0ms	45×	body	640	valid
29.0ms	132×	body	80	valid
13.0ms	256×	pre	80	true
8.0ms	14×	body	320	valid
3.0ms	6×	body	160	valid

simplify81.0ms

Counts: 1 → 1

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 35

Calls

1 calls:

Slowest

21.0ms

(* (/ e (fma (cos v) e 1)) (sin v))

series134.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

134.0ms

(* (/ e (fma (cos v) e 1)) (sin v))

simplify751.0ms

Counts: 38 → 38

prune412.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 65

Calls

2 calls:

Slowest

14.0ms	(* e (/ (sin v) (fma (cos v) e 1)))
8.0ms	(/ (sin v) (fma (cos v) e 1))

series168.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

111.0ms	(* e (/ (sin v) (fma (cos v) e 1)))
57.0ms	(/ (sin v) (fma (cos v) e 1))

simplify1.1s

Counts: 71 → 71

prune772.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(log1p (/ (sin v) (fma (cos v) e 1)))
0.2b	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
0.1b	(* e (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))))
0.0b	(/ (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:

Slowest

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

series507.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

177.0ms	(* e (expm1 (log1p (/ (sin v) (fma (cos v) e 1)))))
138.0ms	(expm1 (log1p (/ (sin v) (fma (cos v) e 1))))
123.0ms	(log1p (/ (sin v) (fma (cos v) e 1)))
69.0ms	(/ (sin v) (fma (cos v) e 1))

simplify1.5s

Counts: 87 → 87

prune993.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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×	`log1p-expm1-u`
4×	`expm1-log1p-u` `insert-posit16` `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:

Slowest

12.0ms	(/ (sin v) (fma (cos v) e 1))
6.0ms	(* e (log1p (expm1 (/ (sin v) (fma (cos v) e 1)))))
0.0ms	(expm1 (/ (sin v) (fma (cos v) e 1)))
0.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1))))

series434.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

149.0ms	(* e (log1p (expm1 (/ (sin v) (fma (cos v) e 1)))))
114.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1))))
85.0ms	(expm1 (/ (sin v) (fma (cos v) e 1)))
85.0ms	(/ (sin v) (fma (cos v) e 1))

simplify1.5s

Counts: 87 → 87

prune899.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.1s	1473×	body	1280	valid
1.3s	1272×	body	640	valid
797.0ms	664×	body	320	valid
781.0ms	4288×	body	80	valid
689.0ms	8000×	pre	80	true
116.0ms	303×	body	160	valid