Details

sample366.0ms

Algorithm

intervals

Results

158.0ms	56×	body	1280	valid
43.0ms	28×	body	640	valid
15.0ms	143×	body	80	valid
7.0ms	256×	pre	80	true
7.0ms	24×	body	320	valid
1.0ms	5×	body	160	valid

simplify77.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize208.0ms

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))

rewrite222.0ms

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:

91.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
61.0ms	(* e (sin v))
66.0ms	(* e (cos v))

series286.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
59.0ms	(* e (sin v))
69.0ms	(* e (cos v))

simplify1.3s

Counts

68 → 68

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	118	723
1	306	687
2	1510	609
done	5000	605

prune237.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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))
0.2b	(* (sqrt e) (sin v))
0.2b	(* (sqrt e) (* (sqrt e) (sin v)))

rewrite140.0ms

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:

56.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
22.0ms	(* e (cos v))
13.0ms	(* (sqrt e) (sin v))
47.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
64.0ms	(* e (cos v))
133.0ms	(* (sqrt e) (sin v))
57.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

simplify1.7s

Counts

98 → 98

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	191	1333
1	526	1248
2	2982	948
done	5001	930

prune399.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

27×	`associate-l`
24×	`sqrt-prod`
23×	`add-sqr-sqrt`
22×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-r`
4×	`*-commutative` `add-log-exp` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

9.0ms	(* e (cos v))
135.0ms	(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
24.0ms	(* (sqrt (sqrt e)) (sin v))
55.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))

series370.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* e (cos v))
80.0ms	(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
132.0ms	(* (sqrt (sqrt e)) (sin v))
103.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))

simplify1.5s

Counts

104 → 104

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	152	1275
1	400	1196
2	2052	836
done	5001	754

prune474.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin v)) (cbrt (sin v)))
0.7b	(cbrt (sin v))
0.7b	(cbrt (sin v))
0.7b	(cbrt (sin v))

rewrite44.0ms

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:

31.0ms	(* (cbrt (sin v)) (cbrt (sin v)))
3.0ms	(cbrt (sin v))
3.0ms	(cbrt (sin v))
4.0ms	(cbrt (sin v))

series645.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt (sin v)) (cbrt (sin v)))
149.0ms	(cbrt (sin v))
142.0ms	(cbrt (sin v))
163.0ms	(cbrt (sin v))

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	75	710
1	177	628
2	756	534
done	5001	520

prune368.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes169.0ms

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

sample4.7s

Algorithm

intervals

Results

1.5s	1526×	body	1280	valid
1.3s	1264×	body	640	valid
1.0s	4266×	body	80	valid
277.0ms	634×	body	320	valid
164.0ms	8000×	pre	80	true
74.0ms	310×	body	160	valid