Details

sample238.0ms

Algorithm

intervals

Results

107.0ms	51×	body	1280	valid
24.0ms	42×	body	640	valid
16.0ms	137×	body	80	valid
6.0ms	256×	pre	80	true
5.0ms	13×	body	320	valid
3.0ms	13×	body	160	valid

simplify34.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
4	24
3	23
2	20
1	14
0	9

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

15.0ms	(/ (sin v) (fma (cos v) e 1.0))
28.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

series264.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(/ (sin v) (fma (cos v) e 1.0))
162.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

simplify1.3s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1521
1	333
0	130

prune456.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

12.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
14.0ms	(* e (sin v))

series195.0ms

Counts

2 → 6

Calls

2 calls:

137.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
58.0ms	(* e (sin v))

simplify1.2s

Counts

49 → 49

Iterations

Iter	Nodes
done	5001
2	1158
1	229
0	93

prune335.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (fma (cos v) e 1.0))
0.1b	(* e (log1p (expm1 (/ (sin v) (fma (cos v) e 1.0)))))
0.2b	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
0.2b	(log1p (expm1 (/ (sin v) (fma (cos v) e 1.0))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `log1p-expm1` `*-commutative` `cbrt-unprod` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

6.0ms	(/ (sin v) (fma (cos v) e 1.0))
6.0ms	(* e (log1p (expm1 (/ (sin v) (fma (cos v) e 1.0)))))
0.0ms	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
0.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1.0))))

series542.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ (sin v) (fma (cos v) e 1.0))
212.0ms	(* e (log1p (expm1 (/ (sin v) (fma (cos v) e 1.0)))))
148.0ms	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
113.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1.0))))

simplify1.4s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1896
1	374
0	156

prune622.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (fma (cos v) e 1.0) (sin v))
0.2b	(/ e (/ (fma (cos v) e 1.0) (sin v)))

rewrite22.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 101

Calls

2 calls:

5.0ms	(/ (fma (cos v) e 1.0) (sin v))
14.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series233.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(/ (fma (cos v) e 1.0) (sin v))
139.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2292
1	487
0	197

prune620.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes202.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.9s	1491×	body	1280	valid
755.0ms	1336×	body	640	valid
607.0ms	8000×	pre	80	true
539.0ms	4252×	body	80	valid
264.0ms	607×	body	320	valid
112.0ms	314×	body	160	valid