Details

sample235.0ms

Algorithm

intervals

Results

43.0ms	53×	body	1280	valid
28.0ms	46×	body	640	valid
17.0ms	133×	body	80	valid
8.0ms	256×	pre	80	true
7.0ms	18×	body	320	valid
1.0ms	6×	body	160	valid

simplify108.0ms

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

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:

19.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
16.0ms	(* e (sin v))
21.0ms	(* e (cos v))

series662.0ms

Counts

3 → 9

Calls

3 calls:

289.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
266.0ms	(* e (sin v))
106.0ms	(* e (cos v))

simplify921.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1551
1	312
0	123

prune341.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

5.0ms	(/ (fma (cos v) e 1.0) (sin v))
8.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series212.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(/ (fma (cos v) e 1.0) (sin v))
101.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify1.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2292
1	487
0	197

prune713.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (* (sin v) (/ e (fma e (cos v) 1.0))))
0.0b	(expm1 (log1p (* (sin v) (/ e (fma e (cos v) 1.0)))))
0.0b	(/ e (fma e (cos v) 1.0))
0.2b	(* (sin v) (/ e (fma e (cos v) 1.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
13×	`associate-r`
11×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
5×	`expm1-log1p-u`
4×	`log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `pow-prod-down` `log1p-expm1` `associate-r/` `-commutative` `expm1-udef`

Counts

4 → 85

Calls

4 calls:

1.0ms	(log1p (* (sin v) (/ e (fma e (cos v) 1.0))))
0.0ms	(expm1 (log1p (* (sin v) (/ e (fma e (cos v) 1.0)))))
8.0ms	(/ e (fma e (cos v) 1.0))
24.0ms	(* (sin v) (/ e (fma e (cos v) 1.0)))

series560.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(log1p (* (sin v) (/ e (fma e (cos v) 1.0))))
209.0ms	(expm1 (log1p (* (sin v) (/ e (fma e (cos v) 1.0)))))
88.0ms	(/ e (fma e (cos v) 1.0))
102.0ms	(* (sin v) (/ e (fma e (cos v) 1.0)))

simplify1.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	2611
1	434
0	169

prune593.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (* (sin v) (/ (sqrt e) (/ (fma e (cos v) 1.0) (sqrt e)))))
0.2b	(* (sin v) (/ (sqrt e) (/ (fma e (cos v) 1.0) (sqrt e))))
0.3b	(/ (sqrt e) (/ (fma e (cos v) 1.0) (sqrt e)))
0.3b	(/ (fma e (cos v) 1.0) (sqrt e))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

526×	`times-frac`
304×	`add-sqr-sqrt`
280×	`*-un-lft-identity` `add-cube-cbrt`
269×	`sqrt-prod`
137×	`associate-r`
28×	`associate-/r*`
20×	`add-cbrt-cube` `add-exp-log`
16×	`div-inv`
9×	`associate-/l*`
7×	`cbrt-undiv` `div-exp` `unswap-sqr`
6×	`pow1`
5×	`expm1-log1p-u`
4×	`log1p-expm1-u` `add-log-exp`
3×	`associate-l` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`log1p-udef` `pow-prod-down` `log1p-expm1` `associate-r/` `-commutative`

Counts

4 → 394

Calls

4 calls:

1.0ms	(log1p (* (sin v) (/ (sqrt e) (/ (fma e (cos v) 1.0) (sqrt e)))))
105.0ms	(* (sin v) (/ (sqrt e) (/ (fma e (cos v) 1.0) (sqrt e))))
24.0ms	(/ (sqrt e) (/ (fma e (cos v) 1.0) (sqrt e)))
17.0ms	(/ (fma e (cos v) 1.0) (sqrt e))

series532.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(log1p (* (sin v) (/ (sqrt e) (/ (fma e (cos v) 1.0) (sqrt e)))))
110.0ms	(* (sin v) (/ (sqrt e) (/ (fma e (cos v) 1.0) (sqrt e))))
98.0ms	(/ (sqrt e) (/ (fma e (cos v) 1.0) (sqrt e)))
115.0ms	(/ (fma e (cos v) 1.0) (sqrt e))

simplify994.0ms

Counts

406 → 406

Iterations

Iter	Nodes
done	5000
1	1710
0	569

prune2.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes520.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.9s	1472×	body	1280	valid
835.0ms	1261×	body	640	valid
531.0ms	4352×	body	80	valid
272.0ms	576×	body	320	valid
272.0ms	8000×	pre	80	true
84.0ms	339×	body	160	valid