Details

sample259.0ms

Algorithm

intervals

Results

63.0ms	34×	body	640	valid
41.0ms	54×	body	1280	valid
15.0ms	138×	body	80	valid
6.0ms	256×	pre	80	true
5.0ms	18×	body	320	valid
3.0ms	12×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
4	24
3	23
2	20
1	14
0	9

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* e (sin v))

rewrite52.0ms

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` `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 → 65

Calls

3 calls:

30.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
7.0ms	(* e (cos v))
11.0ms	(* e (sin v))

series234.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
66.0ms	(* e (cos v))
49.0ms	(* e (sin v))

simplify1.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	1542
1	312
0	123

prune458.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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	(* (sin v) e)

rewrite50.0ms

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` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

14.0ms	(* e (cos v))
17.0ms	(* e (cos v))
7.0ms	(* e (cos v))
8.0ms	(* (sin v) e)

series192.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* e (cos v))
47.0ms	(* e (cos v))
50.0ms	(* e (cos v))
49.0ms	(* (sin v) e)

simplify4.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	4351
2	497
1	126
0	60

prune747.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (fma (cos v) e 1.0) (sin v))
0.2b	(/ e (/ (fma (cos v) e 1.0) (sin v)))

rewrite38.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 101

Calls

2 calls:

9.0ms	(/ (fma (cos v) e 1.0) (sin v))
22.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series275.0ms

Counts

2 → 6

Calls

2 calls:

122.0ms	(/ (fma (cos v) e 1.0) (sin v))
153.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify1.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2292
1	487
0	197

prune698.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt e) (sqrt (fma e (cos v) 1.0)))
0.0b	(/ (sqrt e) (sqrt (fma e (cos v) 1.0)))
0.2b	(* (/ (sqrt e) (sqrt (fma e (cos v) 1.0))) (* (sin v) (/ (sqrt e) (sqrt (fma e (cos v) 1.0)))))
0.3b	(* (sin v) (/ (sqrt e) (sqrt (fma e (cos v) 1.0))))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

160×	`sqrt-prod`
148×	`times-frac`
125×	`add-sqr-sqrt`
111×	`*-un-lft-identity` `add-cube-cbrt`
43×	`associate-l`
41×	`associate-r`
34×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r` `prod-exp` `cbrt-unprod` `associate-/l`
11×	`pow1`
8×	`cbrt-undiv` `div-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*r/` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`sqrt-undiv` `clear-num` `frac-2neg` `*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 258

Calls

4 calls:

6.0ms	(/ (sqrt e) (sqrt (fma e (cos v) 1.0)))
6.0ms	(/ (sqrt e) (sqrt (fma e (cos v) 1.0)))
99.0ms	(* (/ (sqrt e) (sqrt (fma e (cos v) 1.0))) (* (sin v) (/ (sqrt e) (sqrt (fma e (cos v) 1.0)))))
28.0ms	(* (sin v) (/ (sqrt e) (sqrt (fma e (cos v) 1.0))))

series737.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(/ (sqrt e) (sqrt (fma e (cos v) 1.0)))
182.0ms	(/ (sqrt e) (sqrt (fma e (cos v) 1.0)))
188.0ms	(* (/ (sqrt e) (sqrt (fma e (cos v) 1.0))) (* (sin v) (/ (sqrt e) (sqrt (fma e (cos v) 1.0)))))
227.0ms	(* (sin v) (/ (sqrt e) (sqrt (fma e (cos v) 1.0))))

simplify553.0ms

Counts

270 → 270

Iterations

Iter	Nodes
done	5000
1	899
0	310

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes151.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.5s	1436×	body	1280	valid
728.0ms	650×	body	320	valid
719.0ms	8000×	pre	80	true
691.0ms	1267×	body	640	valid
551.0ms	4317×	body	80	valid
79.0ms	330×	body	160	valid