Details

sample1.1s

Algorithm

intervals

Results

100.0ms	48×	body	1280	valid
96.0ms	39×	body	640	valid
71.0ms	134×	body	80	valid
15.0ms	256×	pre	80	true
13.0ms	19×	body	320	valid
7.0ms	16×	body	160	valid

simplify35.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
4	24
3	23
2	20
1	16
0	9

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

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:

27.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
16.0ms	(* e (cos v))
42.0ms	(* e (sin v))

series234.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
67.0ms	(* e (cos v))
78.0ms	(* e (sin v))

simplify1.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5015
2	943
1	279
0	114

prune410.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

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)))

rewrite52.0ms

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:

17.0ms	(* e (cos v))
20.0ms	(/ (+ 1 (* e (cos v))) (sin v))
12.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series243.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* e (cos v))
76.0ms	(/ (+ 1 (* e (cos v))) (sin v))
118.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

simplify1.6s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	1841
1	545
0	216

prune666.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
0.1b	(* e (cos v))
0.3b	(* (sqrt e) (sin v))
0.3b	(* (sqrt e) (* (sqrt e) (sin v)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`associate-l`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r` `sqrt-prod`
5×	`pow-prod-down`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `times-frac` `div-exp` `-commutative` `unswap-sqr`
2×	`associate-/r/`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 90

Calls

4 calls:

60.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
15.0ms	(* e (cos v))
20.0ms	(* (sqrt e) (sin v))
33.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

series345.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
49.0ms	(* e (cos v))
114.0ms	(* (sqrt e) (sin v))
61.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

simplify1.5s

Counts

102 → 102

Iterations

Iter	Nodes
done	5053
2	1952
1	502
0	188

prune473.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.2b	(/ (+ 1 (* e (cos v))) (sin v))
0.3b	(/ (sqrt e) (/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e)))
0.3b	(/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

1566×	`times-frac`
742×	`add-sqr-sqrt`
740×	`*-un-lft-identity` `add-cube-cbrt`
564×	`sqrt-prod`
91×	`associate-/r*`
59×	`div-inv`
22×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
10×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-l` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 760

Calls

4 calls:

17.0ms	(* e (cos v))
29.0ms	(/ (+ 1 (* e (cos v))) (sin v))
13.0ms	(/ (sqrt e) (/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e)))
28.0ms	(/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e))

series456.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* e (cos v))
95.0ms	(/ (+ 1 (* e (cos v))) (sin v))
118.0ms	(/ (sqrt e) (/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e)))
180.0ms	(/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e))

simplify2.7s

Counts

772 → 772

Iterations

Iter	Nodes
done	5001
1	2684
0	965

prune3.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes173.0ms

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	14
1	14
0	9

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.6s	1547×	body	1280	valid
1.4s	1266×	body	640	valid
956.0ms	4253×	body	80	valid
367.0ms	588×	body	320	valid
285.0ms	8000×	pre	80	true
171.0ms	346×	body	160	valid