Details

sample351.0ms

Algorithm

intervals

Results

19.0ms	46×	body	1280	valid
10.0ms	39×	body	640	valid
8.0ms	145×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	19×	body	320	valid
1.0ms	7×	body	160	valid

simplify36.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	14	6
1	20	5
2	23	5
3	24	5
4	24	5
done	24	5

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 65

Calls

3 calls:

16.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms	(* e (cos v))
12.0ms	(* e (sin v))

series191.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms	(* e (cos v))
57.0ms	(* e (sin v))

simplify44.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	303	422
1	1415	368
2	5001	362
done	5001	362

prune186.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma (cos v) e 1.0) e)
0.2b	(/ (sin v) (/ (fma (cos v) e 1.0) e))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 101

Calls

2 calls:

5.0ms	(/ (fma (cos v) e 1.0) e)
13.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

series148.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ (fma (cos v) e 1.0) e)
89.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify54.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	436	1039
1	1847	982
2	5001	979
done	5001	979

prune299.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (cos v))
0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.3b	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
12×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 123

Calls

3 calls:

9.0ms	(* e (cos v))
33.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
24.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series205.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* e (cos v))
72.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
93.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify66.0ms

Counts

132 → 132

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	530	1326
1	2377	1222
2	5001	1212
done	5001	1212

prune350.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v))
0.2b	(/ (sqrt e) (/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v)))
0.3b	(/ (fma (cos v) e 1.0) (sqrt e))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

1416×	`times-frac`
669×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
450×	`sqrt-prod`
79×	`associate-/r*`
35×	`div-inv`
31×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 664

Calls

3 calls:

16.0ms	(/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v))
31.0ms	(/ (sqrt e) (/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v)))
9.0ms	(/ (fma (cos v) e 1.0) (sqrt e))

series309.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v))
108.0ms	(/ (sqrt e) (/ (/ (fma (cos v) e 1.0) (sqrt e)) (sin v)))
90.0ms	(/ (fma (cos v) e 1.0) (sqrt e))

simplify127.0ms

Counts

673 → 673

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	2255	12285
1	5001	11838
done	5001	11838

prune1.5s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6
done	12	6

end0.0ms

sample1.7s

Algorithm

intervals

Results

635.0ms	1516×	body	1280	valid
323.0ms	1243×	body	640	valid
227.0ms	4338×	body	80	valid
110.0ms	611×	body	320	valid
100.0ms	8000×	pre	80	true
35.0ms	292×	body	160	valid