Details

sample306.0ms

Algorithm

intervals

Results

21.0ms	47×	body	1280	valid
12.0ms	47×	body	640	valid
7.0ms	133×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	17×	body	320	valid
2.0ms	12×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	18	11
3	21	11
4	22	11
done	22	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

rewrite27.0ms

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:

6.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
3.0ms	(* e (sin v))
5.0ms	(* e (cos v))

series173.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms	(* e (sin v))
44.0ms	(* e (cos v))

simplify1.8s

Counts

68 → 68

Iterations

Useful iterations: 3 (745.0ms)

Iter	Nodes	Cost
0	118	723
1	291	687
2	936	601
3	4077	599
done	5000	599

prune168.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:

8.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
3.0ms	(* e (cos v))
7.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series195.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
39.0ms	(* e (cos v))
88.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify863.0ms

Counts

126 → 126

Iterations

Useful iterations: done (857.0ms)

Iter	Nodes	Cost
0	222	2251
1	515	2154
2	1561	2023
done	5001	2021

prune350.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.3b	(* (sqrt e) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
15×	`associate-l`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r` `sqrt-prod`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r` `-commutative` `unswap-sqr`
2×	`associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 86

Calls

4 calls:

18.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
3.0ms	(* e (cos v))
11.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
5.0ms	(* (sqrt e) (sin v))

series265.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
37.0ms	(* e (cos v))
51.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
74.0ms	(* (sqrt e) (sin v))

simplify920.0ms

Counts

98 → 98

Iterations

Useful iterations: done (918.0ms)

Iter	Nodes	Cost
0	191	1333
1	510	1080
2	2007	924
done	5000	919

prune252.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt e) (cbrt e))
0.6b	(cbrt e)
0.6b	(cbrt e)
0.6b	(cbrt e)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt e) (cbrt e))
0.0ms	(cbrt e)
1.0ms	(cbrt e)
1.0ms	(cbrt e)

series753.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt e) (cbrt e))
182.0ms	(cbrt e)
186.0ms	(cbrt e)
181.0ms	(cbrt e)

simplify3.7s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	61	524
1	115	465
2	319	397
3	1162	379
4	3669	374
done	5000	374

prune248.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	12	11
done	12	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

645.0ms	1530×	body	1280	valid
332.0ms	1221×	body	640	valid
240.0ms	4287×	body	80	valid
118.0ms	643×	body	320	valid
104.0ms	8000×	pre	80	true
39.0ms	319×	body	160	valid