Details

sample174.0ms

Algorithm

intervals

Results

30.0ms	42×	body	1280	valid
22.0ms	49×	body	640	valid
15.0ms	133×	body	80	valid
8.0ms	256×	pre	80	true
7.0ms	20×	body	320	valid
2.0ms	12×	body	160	valid

simplify47.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
5	26
4	25
3	23
2	20
1	16
0	9

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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))

rewrite91.0ms

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×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `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 → 68

Calls

3 calls:

33.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
17.0ms	(* e (cos v))
23.0ms	(* e (sin v))

series238.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
64.0ms	(* e (cos v))
67.0ms	(* e (sin v))

simplify2.8s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	4974
2	864
1	288
0	120

prune348.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

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×	`expm1-log1p-u` `pow-sqr` `*-commutative` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 100

Calls

4 calls:

9.0ms	(* e (cos v))
9.0ms	(* e (cos v))
13.0ms	(* e (sin v))
76.0ms	(* (* e (cos v)) (* e (cos v)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* e (cos v))
62.0ms	(* e (cos v))
72.0ms	(* e (sin v))
87.0ms	(* (* e (cos v)) (* e (cos v)))

simplify2.2s

Counts

112 → 112

Iterations

Iter	Nodes
done	5003
3	2697
2	669
1	204
0	89

prune481.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (fma (cos v) e 1) (sin v))
0.2b	(/ e (/ (fma (cos v) e 1) (sin v)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 103

Calls

2 calls:

17.0ms	(/ (fma (cos v) e 1) (sin v))
19.0ms	(/ e (/ (fma (cos v) e 1) (sin v)))

series225.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(/ (fma (cos v) e 1) (sin v))
140.0ms	(/ e (/ (fma (cos v) e 1) (sin v)))

simplify2.3s

Counts

109 → 109

Iterations

Iter	Nodes
done	5025
3	4548
2	1267
1	447
0	191

prune562.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

84×	`pow1`
75×	`times-frac`
50×	`add-sqr-sqrt`
48×	`*-un-lft-identity` `add-cube-cbrt`
35×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
13×	`associate-/r*`
8×	`pow-sqr` `pow-prod-up`
5×	`associate-r` `associate-l` `div-inv`
4×	`expm1-log1p-u` `pow-plus` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `-commutative` `associate-/l`
2×	`pow2` `swap-sqr`
1×	`clear-num` `frac-2neg` `associate-/r/` `unswap-sqr`

Counts

4 → 168

Calls

4 calls:

14.0ms	(* e (cos v))
56.0ms	(* (* e (cos v)) (* e (cos v)))
73.0ms	(* (* e (cos v)) (* e (cos v)))
24.0ms	(/ (sin v) (/ (fma (* e (cos v)) (* (* e (cos v)) (* e (cos v))) 1) e))

series378.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* e (cos v))
86.0ms	(* (* e (cos v)) (* e (cos v)))
68.0ms	(* (* e (cos v)) (* e (cos v)))
155.0ms	(/ (sin v) (/ (fma (* e (cos v)) (* (* e (cos v)) (* e (cos v))) 1) e))

simplify2.1s

Counts

180 → 180

Iterations

Iter	Nodes
done	5004
2	1897
1	551
0	221

prune844.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes104.0ms

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	17
1	17
0	12

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.0s	1472×	body	1280	valid
1.4s	1221×	body	640	valid
646.0ms	4357×	body	80	valid
304.0ms	8000×	pre	80	true
280.0ms	632×	body	320	valid
95.0ms	318×	body	160	valid