Details

sample303.0ms

Algorithm

intervals

Results

93.0ms	39×	body	1280	valid
38.0ms	41×	body	640	valid
28.0ms	147×	body	80	valid
12.0ms	256×	pre	80	true
10.0ms	15×	body	320	valid
6.0ms	14×	body	160	valid

simplify31.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
5	24
4	23
3	21
2	18
1	16
0	9

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 3 expressions with local error:

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

rewrite87.0ms

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:

28.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
17.0ms	(* e (sin v))
39.0ms	(* e (cos v))

series279.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
68.0ms	(* e (sin v))
84.0ms	(* e (cos v))

simplify1.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	2004
3	2004
2	839
1	279
0	114

prune644.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* e (cos v))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
22×	`add-cbrt-cube` `add-exp-log`
20×	`pow-prod-down`
16×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 92

Calls

4 calls:

43.0ms	(* (* e (cos v)) (* e (cos v)))
8.0ms	(* e (cos v))
16.0ms	(* e (cos v))
9.0ms	(* e (cos v))

series231.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (* e (cos v)) (* e (cos v)))
57.0ms	(* e (cos v))
49.0ms	(* e (cos v))
50.0ms	(* e (cos v))

simplify1.6s

Counts

104 → 104

Iterations

Iter	Nodes
done	2000
3	2000
2	467
1	144
0	59

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (cos v))
0.2b	(/ (+ 1 (* e (cos v))) (sin v))
0.2b	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

rewrite53.0ms

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:

7.0ms	(* e (cos v))
23.0ms	(/ (+ 1 (* e (cos v))) (sin v))
19.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series291.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* e (cos v))
99.0ms	(/ (+ 1 (* e (cos v))) (sin v))
142.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

simplify1.3s

Counts

129 → 129

Iterations

Iter	Nodes
done	2014
3	2014
2	1631
1	545
0	216

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* e (cos v)) 3)
0.2b	(/ (+ (pow 1 3) (pow (* e (cos v)) 3)) (+ (sin v) (* (sin v) (- (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)))))
0.2b	(* (sin v) (- (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)))
0.2b	(/ e (/ (+ (pow 1 3) (pow (* e (cos v)) 3)) (+ (sin v) (* (sin v) (- (* (* (cos v) e) (* (cos v) e)) (* (cos v) e))))))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
131×	`*-un-lft-identity`
85×	`add-sqr-sqrt`
83×	`add-cube-cbrt`
32×	`distribute-lft-out`
27×	`associate-/r*`
17×	`cube-mult`
16×	`add-cbrt-cube` `add-exp-log` `sum-cubes`
11×	`associate-/r/`
9×	`pow1` `associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l`
2×	`distribute-rgt-in` `clear-num` `sub-neg` `pow-pow` `frac-2neg` `distribute-lft-in` `pow-prod-down` `pow-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `rem-cube-cbrt` `associate-/l/`
1×	`pow-to-exp` `unpow-prod-down` `flip3--` `unpow3` `cube-prod` `*-commutative` `flip--` `unswap-sqr` `sqr-pow`

Counts

4 → 207

Calls

4 calls:

6.0ms	(pow (* e (cos v)) 3)
47.0ms	(/ (+ (pow 1 3) (pow (* e (cos v)) 3)) (+ (sin v) (* (sin v) (- (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)))))
163.0ms	(* (sin v) (- (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)))
38.0ms	(/ e (/ (+ (pow 1 3) (pow (* e (cos v)) 3)) (+ (sin v) (* (sin v) (- (* (* (cos v) e) (* (cos v) e)) (* (cos v) e))))))

series772.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(pow (* e (cos v)) 3)
184.0ms	(/ (+ (pow 1 3) (pow (* e (cos v)) 3)) (+ (sin v) (* (sin v) (- (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)))))
205.0ms	(* (sin v) (- (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)))
292.0ms	(/ e (/ (+ (pow 1 3) (pow (* e (cos v)) 3)) (+ (sin v) (* (sin v) (- (* (* (cos v) e) (* (cos v) e)) (* (cos v) e))))))

simplify1.6s

Counts

219 → 219

Iterations

Iter	Nodes
done	2002
2	2002
1	998
0	361

prune3.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes95.0ms

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	17
1	17
0	12

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.0s	1494×	body	1280	valid
1.2s	1211×	body	640	valid
898.0ms	4323×	body	80	valid
821.0ms	8000×	pre	80	true
514.0ms	656×	body	320	valid
127.0ms	316×	body	160	valid