Details

sample298.0ms

Algorithm

intervals

Results

21.0ms	49×	body	1280	valid
10.0ms	35×	body	640	valid
8.0ms	143×	body	80	valid
4.0ms	256×	pre	80	true
2.0ms	13×	body	320	valid
2.0ms	16×	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 (cos v))
0.1b	(* e (sin v))

rewrite18.0ms

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 (cos v))
6.0ms	(* e (sin v))

series183.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
36.0ms	(* e (cos v))
56.0ms	(* e (sin v))

simplify1.7s

Counts

68 → 68

Iterations

Useful iterations: 3 (751.0ms)

Iter	Nodes	Cost
0	118	723
1	291	687
2	936	601
3	4071	599
done	5001	599

prune166.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(pow (* e (cos v)) 3)
0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(* e (sin v))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
13×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r` `associate-l`
4×	`pow-sqr` `pow-prod-up` `add-log-exp`
3×	`pow-unpow` `*-commutative`
2×	`pow-pow` `pow-plus` `pow-exp` `rem-cube-cbrt` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

3.0ms	(* e (cos v))
3.0ms	(pow (* e (cos v)) 3)
11.0ms	(* (* e (cos v)) (* e (cos v)))
4.0ms	(* e (sin v))

series197.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* e (cos v))
65.0ms	(pow (* e (cos v)) 3)
54.0ms	(* (* e (cos v)) (* e (cos v)))
41.0ms	(* e (sin v))

simplify776.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	108	830
1	240	595
2	889	549
done	5000	549

prune280.0ms

Pruning

8 alts after pruning (7 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)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
38.0ms	(* e (cos v))
87.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify792.0ms

Counts

126 → 126

Iterations

Useful iterations: done (788.0ms)

Iter	Nodes	Cost
0	222	2251
1	515	2154
2	1561	2023
done	5000	2021

prune346.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

4.0ms	(/ e (+ 1.0 (* e (cos v))))
3.0ms	(* e (cos v))
13.0ms	(* (/ e (+ 1.0 (* e (cos v)))) (sin v))

series179.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ e (+ 1.0 (* e (cos v))))
36.0ms	(* e (cos v))
87.0ms	(* (/ e (+ 1.0 (* e (cos v)))) (sin v))

simplify1.9s

Counts

90 → 90

Iterations

Useful iterations: 3 (951.0ms)

Iter	Nodes	Cost
0	159	1212
1	385	1165
2	1120	1051
3	4185	1049
done	5001	1049

prune217.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes59.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.6s

Algorithm

intervals

Results

641.0ms	1517×	body	1280	valid
335.0ms	1252×	body	640	valid
228.0ms	4322×	body	80	valid
108.0ms	8000×	pre	80	true
105.0ms	604×	body	320	valid
37.0ms	305×	body	160	valid