Details

sample242.0ms

Algorithm

intervals

Results

48.0ms	53×	body	1280	valid
18.0ms	28×	body	640	valid
17.0ms	138×	body	80	valid
13.0ms	28×	body	320	valid
7.0ms	256×	pre	80	true
3.0ms	9×	body	160	valid

simplify28.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize270.0ms

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))

rewrite63.0ms

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:

26.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
14.0ms	(* e (sin v))
17.0ms	(* e (cos v))

series299.0ms

Counts

3 → 9

Calls

3 calls:

175.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
47.0ms	(* e (sin v))
77.0ms	(* e (cos v))

simplify2.8s

Counts

68 → 68

Iterations

Iter	Nodes
done	5010
3	3995
2	956
1	301
0	117

prune362.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

10.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
20.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
10.0ms	(* e (cos v))

series256.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
141.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
48.0ms	(* e (cos v))

simplify1.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	1355
1	400
0	155

prune577.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

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` `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 → 117

Calls

3 calls:

9.0ms	(* e (cos v))
26.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
11.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series340.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* e (cos v))
111.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
155.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify1.5s

Counts

126 → 126

Iterations

Iter	Nodes
done	5002
2	1812
1	562
0	221

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

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)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

9.0ms	(* (cbrt e) (cbrt e))
1.0ms	(cbrt e)
1.0ms	(cbrt e)
1.0ms	(cbrt e)

series1.0s

Counts

4 → 12

Calls

4 calls:

282.0ms	(* (cbrt e) (cbrt e))
233.0ms	(cbrt e)
234.0ms	(cbrt e)
289.0ms	(cbrt e)

simplify3.6s

Counts

85 → 85

Iterations

Iter	Nodes
done	5007
4	3735
3	1034
2	377
1	136
0	61

prune529.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes243.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.7s	1499×	body	1280	valid
812.0ms	1259×	body	640	valid
558.0ms	4268×	body	80	valid
410.0ms	666×	body	320	valid
244.0ms	8000×	pre	80	true
182.0ms	308×	body	160	valid