Details

sample392.0ms

Algorithm

intervals

Results

98.0ms	24×	body	320	valid
50.0ms	41×	body	1280	valid
45.0ms	51×	body	640	valid
26.0ms	128×	body	80	valid
21.0ms	256×	pre	80	true
8.0ms	12×	body	160	valid

simplify51.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
5	22
4	21
3	19
2	16
1	14
0	9

prune11.0ms

Pruning

1 alts after pruning (1 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))

rewrite127.0ms

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×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `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 → 59

Calls

3 calls:

80.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
20.0ms	(* e (sin v))
21.0ms	(* e (cos v))

series343.0ms

Counts

3 → 9

Calls

3 calls:

170.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
87.0ms	(* e (sin v))
85.0ms	(* e (cos v))

simplify2.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5007
2	1044
1	303
0	118

prune562.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize100.0ms

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	(* e (cos v))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

19.0ms	(* e (cos v))
18.0ms	(* e (cos v))
18.0ms	(* e (cos v))
19.0ms	(* e (cos v))

series281.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* e (cos v))
73.0ms	(* e (cos v))
67.0ms	(* e (cos v))
76.0ms	(* e (cos v))

simplify10.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5006
6	4207
5	2376
4	1196
3	429
2	154
1	65
0	32

prune834.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

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

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 154

Calls

4 calls:

28.0ms	(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
17.0ms	(* e (cos v))
26.0ms	(* e (cos v))
123.0ms	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

series595.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
73.0ms	(* e (cos v))
76.0ms	(* e (cos v))
245.0ms	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

simplify3.9s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
2	2297
1	669
0	239

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (cos v))
0.2b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.2b	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 117

Calls

3 calls:

18.0ms	(* e (cos v))
51.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
37.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series376.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* e (cos v))
138.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
170.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify2.7s

Counts

126 → 126

Iterations

Iter	Nodes
done	5002
2	1868
1	569
0	222

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes240.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	25
1	25
0	17

end0.0ms

sample6.5s

Algorithm

intervals

Results

2.8s	1482×	body	1280	valid
1.9s	1256×	body	640	valid
834.0ms	4344×	body	80	valid
308.0ms	610×	body	320	valid
272.0ms	8000×	pre	80	true
98.0ms	308×	body	160	valid