Details

sample278.0ms

Algorithm

intervals

Results

64.0ms	29×	body	640	valid
52.0ms	53×	body	1280	valid
20.0ms	144×	body	80	valid
12.0ms	23×	body	320	valid
9.0ms	256×	pre	80	true
3.0ms	7×	body	160	valid

simplify48.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

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))

rewrite70.0ms

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:

14.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
15.0ms	(* e (cos v))
39.0ms	(* e (sin v))

series234.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
50.0ms	(* e (cos v))
64.0ms	(* e (sin v))

simplify1.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	840
1	279
0	114

prune330.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

11.0ms	(* (cos v) e)
8.0ms	(* (cos v) e)
8.0ms	(* (cos v) e)
9.0ms	(* e (sin v))

series215.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (cos v) e)
53.0ms	(* (cos v) e)
55.0ms	(* (cos v) e)
42.0ms	(* e (sin v))

simplify3.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5002
4	3433
3	972
2	350
1	139
0	64

prune611.0ms

Pruning

7 alts after pruning (6 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)))

rewrite55.0ms

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:

19.0ms	(* e (cos v))
24.0ms	(/ (+ 1 (* e (cos v))) (sin v))
9.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series262.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* e (cos v))
95.0ms	(/ (+ 1 (* e (cos v))) (sin v))
99.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

simplify1.6s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	1631
1	545
0	216

prune707.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt e) (+ 1 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sin v) (sqrt e)))
0.3b	(* (sin v) (sqrt e))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

15.0ms	(/ (sqrt e) (+ 1 (* e (cos v))))
15.0ms	(* e (cos v))
75.0ms	(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sin v) (sqrt e)))
21.0ms	(* (sin v) (sqrt e))

series432.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(/ (sqrt e) (+ 1 (* e (cos v))))
64.0ms	(* e (cos v))
145.0ms	(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sin v) (sqrt e)))
108.0ms	(* (sin v) (sqrt e))

simplify2.1s

Counts

141 → 141

Iterations

Iter	Nodes
done	5000
2	3041
1	739
0	263

prune674.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes218.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	9

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.1s	1495×	body	1280	valid
1.6s	1220×	body	640	valid
1.5s	4297×	body	80	valid
387.0ms	667×	body	320	valid
295.0ms	8000×	pre	80	true
127.0ms	321×	body	160	valid