Details

sample290.0ms

Algorithm

intervals

Results

88.0ms	148×	body	80	valid
64.0ms	41×	body	1280	valid
34.0ms	32×	body	640	valid
19.0ms	25×	body	320	valid
13.0ms	256×	pre	80	true
5.0ms	10×	body	160	valid

simplify97.0ms

Counts: 1 → 1

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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:

Slowest

38.0ms	(* (/ e (fma (cos v) e 1)) (sin v))
8.0ms	(/ e (fma (cos v) e 1))

series193.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

129.0ms	(* (/ e (fma (cos v) e 1)) (sin v))
64.0ms	(/ e (fma (cos v) e 1))

simplify923.0ms

Counts: 71 → 71

prune838.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
69×	`add-sqr-sqrt`
61×	`*-un-lft-identity` `add-cube-cbrt`
54×	`add-exp-log`
44×	`associate-l`
43×	`sqrt-prod`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp`
13×	`pow1`
12×	`associate-/r*` `cbrt-unprod`
8×	`cbrt-undiv`
6×	`associate-/l*`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-r` `pow-prod-down` `associate-*l/` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-flip` `unswap-sqr`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-*r/` `inv-pow`

Counts

4 → 192

Calls

4 calls:

Slowest

53.0ms	(* (/ 1 (sqrt (fma (cos v) e 1))) (* (/ e (sqrt (fma (cos v) e 1))) (sin v)))
29.0ms	(* (/ e (sqrt (fma (cos v) e 1))) (sin v))
10.0ms	(/ 1 (sqrt (fma (cos v) e 1)))
5.0ms	(/ e (sqrt (fma (cos v) e 1)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

133.0ms	(* (/ e (sqrt (fma (cos v) e 1))) (sin v))
99.0ms	(/ e (sqrt (fma (cos v) e 1)))
83.0ms	(* (/ 1 (sqrt (fma (cos v) e 1))) (* (/ e (sqrt (fma (cos v) e 1))) (sin v)))
62.0ms	(/ 1 (sqrt (fma (cos v) e 1)))

simplify924.0ms

Counts: 204 → 204

prune2.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 3 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

56×	`times-frac`
53×	`add-sqr-sqrt`
45×	`*-un-lft-identity` `add-cube-cbrt`
44×	`associate-l`
40×	`add-exp-log`
31×	`add-cbrt-cube` `sqrt-prod`
17×	`prod-exp`
12×	`cbrt-unprod`
11×	`div-exp`
10×	`pow1`
7×	`cbrt-undiv`
6×	`associate-/l*`
4×	`associate-r` `pow-prod-down` `associate-*l/`
3×	`expm1-log1p-u` `associate-/r*` `1-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`*-commutative`
1×	`frac-times` `clear-num` `frac-2neg` `associate-*r/`

Counts

3 → 141

Calls

3 calls:

Slowest

76.0ms	(* (/ (sqrt e) 1) (* (/ (sqrt e) (fma (cos v) e 1)) (sin v)))
29.0ms	(* (/ (sqrt e) (fma (cos v) e 1)) (sin v))
9.0ms	(/ (sqrt e) (fma (cos v) e 1))

series465.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

207.0ms	(* (/ (sqrt e) (fma (cos v) e 1)) (sin v))
140.0ms	(* (/ (sqrt e) 1) (* (/ (sqrt e) (fma (cos v) e 1)) (sin v)))
118.0ms	(/ (sqrt e) (fma (cos v) e 1))

simplify917.0ms

Counts: 150 → 150

prune1.7s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.5b	(* (sqrt e) (/ (sqrt e) (fma (cos v) e 1)))
0.1b	(* (* (sqrt e) (/ (sqrt e) (fma (cos v) e 1))) (sin v))
0.0b	(/ (sqrt e) (fma (cos v) e 1))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 117

Calls

3 calls:

Slowest

46.0ms	(* (* (sqrt e) (/ (sqrt e) (fma (cos v) e 1))) (sin v))
24.0ms	(* (sqrt e) (/ (sqrt e) (fma (cos v) e 1)))
5.0ms	(/ (sqrt e) (fma (cos v) e 1))

series351.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

139.0ms	(/ (sqrt e) (fma (cos v) e 1))
137.0ms	(* (* (sqrt e) (/ (sqrt e) (fma (cos v) e 1))) (sin v))
75.0ms	(* (sqrt e) (/ (sqrt e) (fma (cos v) e 1)))

simplify1.3s

Counts: 126 → 126

prune1.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes143.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.5s	1563×	body	1280	valid
1.1s	1203×	body	640	valid
833.0ms	4269×	body	80	valid
547.0ms	663×	body	320	valid
338.0ms	8000×	pre	80	true
119.0ms	302×	body	160	valid