Details

sample529.0ms

Algorithm

intervals

Results

179.0ms	43×	body	640	valid
88.0ms	51×	body	1280	valid
56.0ms	134×	body	80	valid
9.0ms	256×	pre	80	true
8.0ms	12×	body	320	valid
5.0ms	16×	body	160	valid

simplify38.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	20	10
3	23	10
4	24	10
done	24	10

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

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))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

145.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
22.0ms	(* e (cos v))
23.0ms	(* e (sin v))

series513.0ms

Counts

3 → 9

Calls

3 calls:

271.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
125.0ms	(* e (cos v))
116.0ms	(* e (sin v))

simplify2.7s

Counts

74 → 74

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	124	767
1	298	731
2	968	618
3	3656	614
done	5000	614

prune271.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(pow (* e (cos v)) 3)
0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(* e (sin v))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
13×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `*-commutative`
2×	`pow-pow` `pow-plus` `pow-exp` `rem-cube-cbrt` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `sqr-pow`

Counts

4 → 100

Calls

4 calls:

18.0ms	(* e (cos v))
15.0ms	(pow (* e (cos v)) 3)
41.0ms	(* (* e (cos v)) (* e (cos v)))
20.0ms	(* e (sin v))

series332.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* e (cos v))
123.0ms	(pow (* e (cos v)) 3)
111.0ms	(* (* e (cos v)) (* e (cos v)))
51.0ms	(* e (sin v))

simplify1.6s

Counts

112 → 112

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	116	884
1	233	647
2	851	597
done	5000	594

prune511.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 101

Calls

2 calls:

6.0ms	(/ (fma (cos v) e 1.0) (sin v))
12.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series246.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(/ (fma (cos v) e 1.0) (sin v))
148.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify2.8s

Counts

107 → 107

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	197	1980
1	426	1894
2	1315	1785
3	4104	1777
done	5000	1777

prune486.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (fma (cos v) e 1.0) (sin v))
0.3b	(* (sqrt e) (/ (sqrt e) (/ (fma (cos v) e 1.0) (sin v))))
0.3b	(/ (sqrt e) (/ (fma (cos v) e 1.0) (sin v)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

294×	`times-frac`
191×	`add-sqr-sqrt`
159×	`add-cube-cbrt` `*-un-lft-identity`
93×	`sqrt-prod`
83×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*` `div-inv`
10×	`unswap-sqr`
9×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l`
5×	`pow1`
3×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 260

Calls

3 calls:

13.0ms	(/ (fma (cos v) e 1.0) (sin v))
112.0ms	(* (sqrt e) (/ (sqrt e) (/ (fma (cos v) e 1.0) (sin v))))
24.0ms	(/ (sqrt e) (/ (fma (cos v) e 1.0) (sin v)))

series510.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(/ (fma (cos v) e 1.0) (sin v))
196.0ms	(* (sqrt e) (/ (sqrt e) (/ (fma (cos v) e 1.0) (sin v))))
210.0ms	(/ (sqrt e) (/ (fma (cos v) e 1.0) (sin v)))

simplify1.8s

Counts

269 → 269

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	370	5734
1	875	5217
2	3087	4922
done	5002	4884

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	24	36
done	24	36

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.7s	1484×	body	1280	valid
1.3s	1306×	body	640	valid
598.0ms	4264×	body	80	valid
250.0ms	622×	body	320	valid
193.0ms	8000×	pre	80	true
72.0ms	324×	body	160	valid