Details

sample206.0ms

Algorithm

intervals

Results

36.0ms	46×	body	1280	valid
20.0ms	36×	body	640	valid
16.0ms	140×	body	80	valid
9.0ms	23×	body	320	valid
6.0ms	256×	pre	80	true
3.0ms	11×	body	160	valid

simplify444.0ms

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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)))

rewrite45.0ms

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:

13.0ms	(/ (sin v) (fma (cos v) e 1.0))
29.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

series256.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(/ (sin v) (fma (cos v) e 1.0))
178.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

simplify1.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1521
1	333
0	130

prune443.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

1.0ms	(expm1 (* e (/ (sin v) (fma (cos v) e 1.0))))
0.0ms	(log1p (expm1 (* e (/ (sin v) (fma (cos v) e 1.0)))))
13.0ms	(/ (sin v) (fma (cos v) e 1.0))
17.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

series677.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(expm1 (* e (/ (sin v) (fma (cos v) e 1.0))))
249.0ms	(log1p (expm1 (* e (/ (sin v) (fma (cos v) e 1.0)))))
90.0ms	(/ (sin v) (fma (cos v) e 1.0))
130.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

simplify1.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	2063
1	429
0	167

prune654.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

0.0ms	(expm1 (/ (* e (sin v)) (fma (cos v) e 1.0)))
0.0ms	(log1p (expm1 (/ (* e (sin v)) (fma (cos v) e 1.0))))
13.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
13.0ms	(* e (sin v))

series620.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(expm1 (/ (* e (sin v)) (fma (cos v) e 1.0)))
215.0ms	(log1p (expm1 (/ (* e (sin v)) (fma (cos v) e 1.0))))
154.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
56.0ms	(* e (sin v))

simplify1.4s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1745
1	325
0	130

prune554.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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

rewrite28.0ms

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:

13.0ms	(/ (sin v) (fma (cos v) e 1.0))
11.0ms	(* 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))))

series577.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (sin v) (fma (cos v) e 1.0))
237.0ms	(* e (log1p (expm1 (/ (sin v) (fma (cos v) e 1.0)))))
114.0ms	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
135.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1.0))))

simplify1.2s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1896
1	374
0	156

prune565.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes150.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.1s	1539×	body	1280	valid
855.0ms	1317×	body	640	valid
679.0ms	4242×	body	80	valid
219.0ms	586×	body	320	valid
164.0ms	8000×	pre	80	true
79.0ms	316×	body	160	valid