Details

sample318.0ms

Algorithm

intervals

Results

47.0ms	38×	body	1280	valid
40.0ms	44×	body	640	valid
26.0ms	135×	body	80	valid
17.0ms	30×	body	320	valid
12.0ms	256×	pre	80	true
4.0ms	9×	body	160	valid

simplify44.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	22
5	22
4	21
3	19
2	16
1	14
0	9

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

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))

rewrite77.0ms

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 (* e (cos v))))
14.0ms	(* e (cos v))
18.0ms	(* e (sin v))

series271.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
72.0ms	(* e (cos v))
78.0ms	(* e (sin v))

simplify1.9s

Counts

71 → 71

Iterations

Iter	Nodes
3	3411
2	783
1	266
0	114

prune285.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

13.0ms	(/ (sin v) (+ 1 (* e (cos v))))
8.0ms	(* e (cos v))
16.0ms	(* e (/ (sin v) (+ 1 (* e (cos v)))))

series255.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ (sin v) (+ 1 (* e (cos v))))
57.0ms	(* e (cos v))
119.0ms	(* e (/ (sin v) (+ 1 (* e (cos v)))))

simplify2.5s

Counts

93 → 93

Iterations

Iter	Nodes
3	3849
2	1142
1	365
0	149

prune406.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite71.0ms

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:

15.0ms	(* e (cos v))
43.0ms	(/ (+ 1 (* e (cos v))) (sin v))
10.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series231.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* e (cos v))
78.0ms	(/ (+ 1 (* e (cos v))) (sin v))
111.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

simplify7.5s

Counts

129 → 129

Iterations

Iter	Nodes
3	5569
2	1531
1	537
0	216

prune683.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

974×	`times-frac`
757×	`add-sqr-sqrt`
490×	`sqrt-prod`
419×	`*-un-lft-identity`
391×	`add-cube-cbrt`
143×	`associate-r` `associate-l`
79×	`unswap-sqr`
61×	`add-exp-log`
49×	`add-cbrt-cube`
30×	`div-exp`
22×	`associate-/r*` `div-inv`
21×	`cbrt-undiv`
14×	`prod-exp`
11×	`cbrt-unprod`
10×	`pow1`
6×	`associate-/l*`
4×	`insert-posit16` `add-log-exp`
3×	`1-exp` `pow-prod-down` `associate-/r/` `*-commutative`
1×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `associate-r/`

Counts

4 → 599

Calls

4 calls:

15.0ms	(* e (cos v))
15.0ms	(* e (cos v))
98.0ms	(* (/ (sqrt e) (/ (sqrt (+ 1 (* e (cos v)))) 1)) (/ (sqrt e) (/ (sqrt (+ 1 (* e (cos v)))) (sin v))))
23.0ms	(/ (sqrt e) (/ (sqrt (+ 1 (* e (cos v)))) (sin v)))

series469.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* e (cos v))
51.0ms	(* e (cos v))
131.0ms	(* (/ (sqrt e) (/ (sqrt (+ 1 (* e (cos v)))) 1)) (/ (sqrt e) (/ (sqrt (+ 1 (* e (cos v)))) (sin v))))
222.0ms	(/ (sqrt e) (/ (sqrt (+ 1 (* e (cos v)))) (sin v)))

simplify1.9s

Counts

611 → 611

Iterations

Iter	Nodes
1	2232
0	655

prune3.4s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes192.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	12
1	12
0	9

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.1s	1518×	body	1280	valid
1.3s	1269×	body	640	valid
800.0ms	4279×	body	80	valid
398.0ms	8000×	pre	80	true
331.0ms	638×	body	320	valid
139.0ms	296×	body	160	valid