Details

sample834.0ms

Algorithm

intervals

Results

105.0ms	46×	body	1280	valid
38.0ms	39×	body	640	valid
31.0ms	144×	body	80	valid
12.0ms	256×	pre	80	true
11.0ms	13×	body	320	valid
6.0ms	14×	body	160	valid

simplify38.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
5	24
4	23
3	21
2	18
1	16
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

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×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `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 → 62

Calls

3 calls:

13.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
14.0ms	(* e (cos v))
25.0ms	(* e (sin v))

series262.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
78.0ms	(* e (cos v))
56.0ms	(* e (sin v))

simplify1.3s

Counts

71 → 71

Iterations

Iter	Nodes
done	2053
3	2053
2	840
1	279
0	114

prune372.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
66×	`times-frac`
49×	`*-un-lft-identity` `add-cube-cbrt`
36×	`sqrt-prod`
30×	`associate-r` `associate-l`
22×	`add-cbrt-cube` `add-exp-log`
11×	`unswap-sqr`
10×	`pow1`
6×	`associate-/r*` `sqrt-div` `prod-exp` `associate-/r/` `cbrt-unprod`
5×	`cbrt-undiv` `div-exp`
4×	`insert-posit16` `add-log-exp`
3×	`flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l`
1×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `associate-r/`

Counts

4 → 158

Calls

4 calls:

7.0ms	(/ e (sqrt (+ 1 (* e (cos v)))))
7.0ms	(* e (cos v))
17.0ms	(* e (cos v))
39.0ms	(* (/ e (sqrt (+ 1 (* e (cos v))))) (/ (sin v) (sqrt (+ 1 (* e (cos v))))))

series328.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(/ e (sqrt (+ 1 (* e (cos v)))))
48.0ms	(* e (cos v))
48.0ms	(* e (cos v))
119.0ms	(* (/ e (sqrt (+ 1 (* e (cos v))))) (/ (sin v) (sqrt (+ 1 (* e (cos v))))))

simplify1.6s

Counts

170 → 170

Iterations

Iter	Nodes
done	2000
3	2000
2	1906
1	647
0	231

prune941.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (cos v))
0.1b	(/ (+ 1 (* e (cos v))) (sin v))
0.2b	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`add-sqr-sqrt`
55×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
12×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

18.0ms	(* e (cos v))
20.0ms	(/ (+ 1 (* e (cos v))) (sin v))
9.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series303.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* e (cos v))
119.0ms	(/ (+ 1 (* e (cos v))) (sin v))
114.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

simplify1.3s

Counts

129 → 129

Iterations

Iter	Nodes
done	2014
3	2014
2	1631
1	545
0	216

prune774.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

80×	`add-sqr-sqrt`
72×	`associate-r`
62×	`times-frac`
61×	`sqrt-prod`
48×	`*-un-lft-identity` `add-cube-cbrt`
34×	`add-cbrt-cube` `add-exp-log`
15×	`pow1`
14×	`prod-exp` `cbrt-unprod`
13×	`associate-l`
12×	`unswap-sqr`
6×	`cbrt-undiv` `div-exp` `pow-prod-down`
4×	`sqrt-div` `associate-r/` `associate-/r/` `-commutative` `insert-posit16` `add-log-exp`
2×	`flip3-+` `flip-+` `div-inv`
1×	`frac-times` `sqrt-undiv` `sqrt-unprod` `associate-*l/`

Counts

4 → 163

Calls

4 calls:

8.0ms	(* e (cos v))
13.0ms	(* e (cos v))
67.0ms	(* (* (sqrt e) (/ (sqrt e) (sqrt (+ 1 (* e (cos v)))))) (/ (sin v) (sqrt (+ 1 (* e (cos v))))))
32.0ms	(* (sqrt e) (/ (sqrt e) (sqrt (+ 1 (* e (cos v))))))

series378.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* e (cos v))
53.0ms	(* e (cos v))
149.0ms	(* (* (sqrt e) (/ (sqrt e) (sqrt (+ 1 (* e (cos v)))))) (/ (sin v) (sqrt (+ 1 (* e (cos v))))))
117.0ms	(* (sqrt e) (/ (sqrt e) (sqrt (+ 1 (* e (cos v))))))

simplify1.3s

Counts

175 → 175

Iterations

Iter	Nodes
done	2001
2	2001
1	886
0	306

prune865.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes144.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.3s	1505×	body	1280	valid
1.6s	1273×	body	640	valid
935.0ms	4286×	body	80	valid
409.0ms	8000×	pre	80	true
385.0ms	613×	body	320	valid
219.0ms	323×	body	160	valid