Details

sample164.0ms

Algorithm

intervals

Results

30.0ms	55×	body	1280	valid
12.0ms	35×	body	640	valid
10.0ms	134×	body	80	valid
5.0ms	18×	body	320	valid
4.0ms	256×	pre	80	true
3.0ms	14×	body	160	valid

simplify43.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
5	22
4	21
3	19
2	16
1	14
0	9

prune41.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize174.0ms

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))

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:

29.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
16.0ms	(* e (cos v))
22.0ms	(* e (sin v))

series483.0ms

Counts

3 → 9

Calls

3 calls:

300.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
74.0ms	(* e (cos v))
109.0ms	(* e (sin v))

simplify2.8s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	4083
2	958
1	301
0	117

prune348.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite709.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
82×	`pow1`
62×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
35×	`add-cbrt-cube` `add-exp-log`
34×	`pow-prod-down`
19×	`associate-/r*`
16×	`cube-unmult` `pow3` `prod-exp` `sum-cubes` `cbrt-unprod`
8×	`pow-sqr` `pow-prod-up`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv` `pow-plus` `div-exp` `add-log-exp`
2×	`pow2` `clear-num` `frac-2neg` `swap-sqr` `associate-r` `associate-l` `*-commutative` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+`

Counts

4 → 183

Calls

4 calls:

382.0ms	(/ (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0))) (sin v))
39.0ms	(* (* (cos v) e) (* (cos v) e))
32.0ms	(* (* e (cos v)) (* e (cos v)))
240.0ms	(/ e (/ (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0))) (sin v)))

series710.0ms

Counts

4 → 12

Calls

4 calls:

306.0ms	(/ (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0))) (sin v))
65.0ms	(* (* (cos v) e) (* (cos v) e))
84.0ms	(* (* e (cos v)) (* e (cos v)))
255.0ms	(/ e (/ (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0))) (sin v)))

simplify2.8s

Counts

195 → 195

Iterations

Iter	Nodes
done	5002
2	2963
1	804
0	293

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite618.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
82×	`pow1`
62×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
35×	`add-cbrt-cube` `add-exp-log`
34×	`pow-prod-down`
19×	`associate-/r*`
16×	`cube-unmult` `pow3` `prod-exp` `sum-cubes` `cbrt-unprod`
8×	`pow-sqr` `pow-prod-up`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv` `pow-plus` `div-exp` `add-log-exp`
2×	`pow2` `clear-num` `frac-2neg` `swap-sqr` `associate-r` `associate-l` `*-commutative` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+`

Counts

4 → 183

Calls

4 calls:

340.0ms	(/ (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0))) (sin v))
28.0ms	(* (* (cos v) e) (* (cos v) e))
38.0ms	(* (* (cos v) e) (* (cos v) e))
195.0ms	(/ e (/ (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0))) (sin v)))

series741.0ms

Counts

4 → 12

Calls

4 calls:

319.0ms	(/ (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0))) (sin v))
68.0ms	(* (* (cos v) e) (* (cos v) e))
74.0ms	(* (* (cos v) e) (* (cos v) e))
280.0ms	(/ e (/ (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0))) (sin v)))

simplify2.4s

Counts

195 → 195

Iterations

Iter	Nodes
done	5000
2	2623
1	732
0	270

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (cos v) e) (* (cos v) e))
0.1b	(* (* (cos v) e) (* (cos v) e))
0.2b	(/ (/ (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0))) (sin v)) e)
0.5b	(/ 1 (/ (/ (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0))) (sin v)) e))

rewrite637.0ms

Algorithm

rewrite-expression-head

Rules

588×	`times-frac`
270×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
83×	`pow1`
55×	`associate-/r*`
54×	`add-exp-log`
48×	`cube-unmult` `pow3` `sum-cubes`
42×	`add-cbrt-cube`
34×	`pow-prod-down`
22×	`div-inv`
19×	`associate-/l*`
18×	`div-exp`
16×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv`
8×	`pow-sqr` `pow-prod-up`
4×	`pow-plus` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`pow2` `clear-num` `frac-2neg` `swap-sqr` `associate-r` `associate-l` `*-commutative`
1×	`associate-/r/` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 386

Calls

4 calls:

41.0ms	(* (* (cos v) e) (* (cos v) e))
26.0ms	(* (* (cos v) e) (* (cos v) e))
372.0ms	(/ (/ (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0))) (sin v)) e)
172.0ms	(/ 1 (/ (/ (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0))) (sin v)) e))

series635.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (* (cos v) e) (* (cos v) e))
83.0ms	(* (* (cos v) e) (* (cos v) e))
300.0ms	(/ (/ (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0))) (sin v)) e)
185.0ms	(/ 1 (/ (/ (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0))) (sin v)) e))

simplify3.2s

Counts

398 → 398

Iterations

Iter	Nodes
done	5001
2	4737
1	1570
0	571

prune3.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes317.0ms

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

sample4.1s

Algorithm

intervals

Results

1.5s	1554×	body	1280	valid
1.1s	1225×	body	640	valid
599.0ms	4258×	body	80	valid
239.0ms	8000×	pre	80	true
239.0ms	649×	body	320	valid
82.0ms	314×	body	160	valid