Details

sample203.0ms

Algorithm

intervals

Results

40.0ms	48×	body	1280	valid
23.0ms	39×	body	640	valid
16.0ms	134×	body	80	valid
9.0ms	256×	pre	80	true
7.0ms	19×	body	320	valid
4.0ms	16×	body	160	valid

simplify38.0ms

Counts

1 → 1

Iterations

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

prune60.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize80.0ms

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))

rewrite133.0ms

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:

56.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
18.0ms	(* e (cos v))
55.0ms	(* e (sin v))

series426.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
187.0ms	(* e (cos v))
105.0ms	(* e (sin v))

simplify3.1s

Counts

77 → 77

Iterations

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

prune312.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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:

10.0ms	(/ (fma (cos v) e 1) (sin v))
14.0ms	(/ e (/ (fma (cos v) e 1) (sin v)))

series266.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(/ (fma (cos v) e 1) (sin v))
152.0ms	(/ e (/ (fma (cos v) e 1) (sin v)))

simplify2.6s

Counts

109 → 109

Iterations

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

prune587.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(* (* e (cos v)) (* e (cos v)))
0.3b	(/ (sin v) (/ (fma (* e (cos v)) (* (* e (cos v)) (* e (cos v))) 1) e))

rewrite83.0ms

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:

7.0ms	(* e (cos v))
33.0ms	(* (* e (cos v)) (* e (cos v)))
30.0ms	(* (* e (cos v)) (* e (cos v)))
9.0ms	(/ (sin v) (/ (fma (* e (cos v)) (* (* e (cos v)) (* e (cos v))) 1) e))

series407.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* e (cos v))
62.0ms	(* (* e (cos v)) (* e (cos v)))
91.0ms	(* (* e (cos v)) (* e (cos v)))
215.0ms	(/ (sin v) (/ (fma (* e (cos v)) (* (* e (cos v)) (* e (cos v))) 1) e))

simplify2.0s

Counts

180 → 180

Iterations

Iter	Nodes
done	5004
2	1897
1	551
0	221

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize41.0ms

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)))

rewrite133.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 98

Calls

4 calls:

52.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
13.0ms	(* e (cos v))
18.0ms	(* (sqrt e) (sin v))
48.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
38.0ms	(* e (cos v))
90.0ms	(* (sqrt e) (sin v))
66.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

simplify1.6s

Counts

110 → 110

Iterations

Iter	Nodes
done	5012
2	1834
1	526
0	196

prune532.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes147.0ms

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

sample4.6s

Algorithm

intervals

Results

2.3s	1547×	body	1280	valid
839.0ms	1266×	body	640	valid
615.0ms	4253×	body	80	valid
324.0ms	8000×	pre	80	true
222.0ms	588×	body	320	valid
87.0ms	346×	body	160	valid