Details

sample280.0ms

Algorithm

intervals

Results

43.0ms	46×	body	1280	valid
25.0ms	38×	body	640	valid
20.0ms	136×	body	80	valid
11.0ms	24×	body	320	valid
8.0ms	256×	pre	80	true
4.0ms	12×	body	160	valid

simplify112.0ms

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: 0.2b

localize131.0ms

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))

rewrite96.0ms

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:

41.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
22.0ms	(* e (cos v))
25.0ms	(* e (sin v))

series411.0ms

Counts

3 → 9

Calls

3 calls:

223.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
81.0ms	(* e (cos v))
106.0ms	(* e (sin v))

simplify7.2s

Counts

71 → 71

Iterations

Iter	Nodes
done	5154
3	4250
2	956
1	305
0	120

prune962.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 3 expressions with local error:

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

rewrite164.0ms

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:

31.0ms	(* e (cos v))
70.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
54.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series463.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(* e (cos v))
161.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
218.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify4.0s

Counts

129 → 129

Iterations

Iter	Nodes
done	5004
2	1839
1	566
0	224

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize132.0ms

Local error

Found 4 expressions with local error:

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

rewrite481.0ms

Algorithm

rewrite-expression-head

Rules

1566×	`times-frac`
742×	`add-sqr-sqrt`
740×	`*-un-lft-identity` `add-cube-cbrt`
564×	`sqrt-prod`
91×	`associate-/r*`
59×	`div-inv`
22×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
10×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-l` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 760

Calls

4 calls:

40.0ms	(* e (cos v))
96.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
85.0ms	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
78.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

series829.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* e (cos v))
164.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
287.0ms	(/ (sqrt e) (/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e)))
311.0ms	(/ (/ (+ 1.0 (* e (cos v))) (sin v)) (sqrt e))

simplify6.9s

Counts

772 → 772

Iterations

Iter	Nodes
done	5001
1	2727
0	973

prune8.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize168.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.2b	(/ (+ 1.0 (* e (cos v))) (* (sqrt e) (sin v)))
0.3b	(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (* (sqrt e) (sin v))))
0.3b	(* (sqrt e) (sin v))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
47×	`add-sqr-sqrt`
41×	`*-un-lft-identity` `add-cube-cbrt`
28×	`sqrt-prod`
22×	`add-cbrt-cube` `add-exp-log`
9×	`associate-l` `div-inv` `associate-/l*`
8×	`pow1` `associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `*-commutative` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+`

Counts

4 → 139

Calls

4 calls:

27.0ms	(* e (cos v))
102.0ms	(/ (+ 1.0 (* e (cos v))) (* (sqrt e) (sin v)))
67.0ms	(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (* (sqrt e) (sin v))))
56.0ms	(* (sqrt e) (sin v))

series730.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* e (cos v))
269.0ms	(/ (+ 1.0 (* e (cos v))) (* (sqrt e) (sin v)))
253.0ms	(/ (sqrt e) (/ (+ 1.0 (* e (cos v))) (* (sqrt e) (sin v))))
139.0ms	(* (sqrt e) (sin v))

simplify5.9s

Counts

151 → 151

Iterations

Iter	Nodes
done	5000
2	2917
1	825
0	312

prune1.8s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes624.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.8s	1506×	body	1280	valid
915.0ms	1341×	body	640	valid
702.0ms	8000×	pre	80	true
581.0ms	4211×	body	80	valid
258.0ms	608×	body	320	valid
84.0ms	334×	body	160	valid