Details

sample299.0ms

Algorithm

intervals

Results

63.0ms	25×	body	320	valid
43.0ms	38×	body	1280	valid
38.0ms	47×	body	640	valid
27.0ms	136×	body	80	valid
13.0ms	256×	pre	80	true
4.0ms	10×	body	160	valid

simplify45.0ms

Counts: 1 → 1

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 68

Calls

3 calls:

Slowest

14.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
9.0ms	(* e (cos v))
8.0ms	(* e (sin v))

series272.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

140.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
72.0ms	(* e (sin v))
60.0ms	(* e (cos v))

simplify1.2s

Counts: 77 → 77

prune725.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* e (cos v))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

Slowest

9.0ms	(* e (cos v))
7.0ms	(* e (cos v))
7.0ms	(* e (cos v))
7.0ms	(* e (cos v))

series227.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

70.0ms	(* e (cos v))
59.0ms	(* e (cos v))
52.0ms	(* e (cos v))
46.0ms	(* e (cos v))

simplify1.9s

Counts: 96 → 96

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 103

Calls

2 calls:

Slowest

7.0ms	(/ e (/ (fma e (cos v) 1) (sin v)))
5.0ms	(/ (fma e (cos v) 1) (sin v))

series259.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

153.0ms	(/ e (/ (fma e (cos v) 1) (sin v)))
106.0ms	(/ (fma e (cos v) 1) (sin v))

simplify1.7s

Counts: 109 → 109

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`times-frac`
34×	`*-un-lft-identity` `add-cube-cbrt`
25×	`associate-l` `sqrt-prod`
19×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
7×	`associate-r` `prod-exp` `cbrt-unprod`
6×	`associate-/l*`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `cbrt-undiv` `associate-/r*` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-*l/`

Counts

3 → 112

Calls

3 calls:

Slowest

33.0ms	(* (/ (sqrt e) (fma e (cos v) 1)) (* (sin v) (sqrt e)))
16.0ms	(* (sin v) (sqrt e))
10.0ms	(/ (sqrt e) (fma e (cos v) 1))

series333.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

160.0ms	(* (/ (sqrt e) (fma e (cos v) 1)) (* (sin v) (sqrt e)))
94.0ms	(/ (sqrt e) (fma e (cos v) 1))
78.0ms	(* (sin v) (sqrt e))

simplify1.0s

Counts: 121 → 121

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample5.6s

Algorithm

intervals

Results

1.9s	1503×	body	1280	valid
1.3s	4335×	body	80	valid
1.3s	1279×	body	640	valid
448.0ms	570×	body	320	valid
333.0ms	8000×	pre	80	true
120.0ms	313×	body	160	valid