Details

sample227.0ms

Algorithm

intervals

Results

48.0ms	53×	body	1280	valid
26.0ms	46×	body	640	valid
19.0ms	133×	body	80	valid
7.0ms	18×	body	320	valid
7.0ms	256×	pre	80	true
2.0ms	6×	body	160	valid

simplify87.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
4	22
3	21
2	18
1	14
0	9

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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))

rewrite73.0ms

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` `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 → 59

Calls

3 calls:

23.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
13.0ms	(* e (sin v))
16.0ms	(* e (cos v))

series333.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
82.0ms	(* e (sin v))
83.0ms	(* e (cos v))

simplify870.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	1505
1	304
0	117

prune347.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

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` `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 → 117

Calls

3 calls:

7.0ms	(* (cos v) e)
22.0ms	(/ (+ (* (cos v) e) 1.0) (sin v))
25.0ms	(/ e (/ (+ (* (cos v) e) 1.0) (sin v)))

series276.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* (cos v) e)
81.0ms	(/ (+ (* (cos v) e) 1.0) (sin v))
145.0ms	(/ e (/ (+ (* (cos v) e) 1.0) (sin v)))

simplify1.3s

Counts

126 → 126

Iterations

Iter	Nodes
done	5002
2	3108
1	594
0	226

prune765.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ e (+ (* (cos v) e) 1.0))
0.1b	(* (cos v) e)
0.2b	(* (/ e (+ (* (cos v) e) 1.0)) (sin v))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
18×	`associate-l`
12×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`associate-r`
4×	`associate-/r/`
3×	`associate-/r` `prod-exp` `cbrt-unprod` `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-*l/`

Counts

3 → 81

Calls

3 calls:

22.0ms	(/ e (+ (* (cos v) e) 1.0))
14.0ms	(* (cos v) e)
65.0ms	(* (/ e (+ (* (cos v) e) 1.0)) (sin v))

series282.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(/ e (+ (* (cos v) e) 1.0))
54.0ms	(* (cos v) e)
128.0ms	(* (/ e (+ (* (cos v) e) 1.0)) (sin v))

simplify1.1s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	2254
1	426
0	163

prune482.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

526×	`times-frac`
308×	`add-sqr-sqrt`
282×	`*-un-lft-identity` `add-cube-cbrt`
269×	`sqrt-prod`
140×	`associate-l`
28×	`associate-/r*`
22×	`add-cbrt-cube` `add-exp-log`
16×	`div-inv`
9×	`associate-/l*`
8×	`pow1` `unswap-sqr`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`
1×	`flip3-+` `associate-*l/` `flip-+`

Counts

4 → 397

Calls

4 calls:

7.0ms	(* (cos v) e)
119.0ms	(* (/ (sqrt e) (/ (+ (* (cos v) e) 1.0) (sqrt e))) (sin v))
37.0ms	(/ (sqrt e) (/ (+ (* (cos v) e) 1.0) (sqrt e)))
19.0ms	(/ (+ (* (cos v) e) 1.0) (sqrt e))

series424.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (cos v) e)
149.0ms	(* (/ (sqrt e) (/ (+ (* (cos v) e) 1.0) (sqrt e))) (sin v))
102.0ms	(/ (sqrt e) (/ (+ (* (cos v) e) 1.0) (sqrt e)))
117.0ms	(/ (+ (* (cos v) e) 1.0) (sqrt e))

simplify685.0ms

Counts

409 → 409

Iterations

Iter	Nodes
done	5000
1	1428
0	503

prune2.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes166.0ms

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
done	12
1	12
0	9

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.9s	1472×	body	1280	valid
765.0ms	1261×	body	640	valid
623.0ms	4352×	body	80	valid
466.0ms	339×	body	160	valid
333.0ms	576×	body	320	valid
164.0ms	8000×	pre	80	true