Details

sample230.0ms

Algorithm

intervals

Results

44.0ms	51×	body	1280	valid
23.0ms	42×	body	640	valid
18.0ms	137×	body	80	valid
6.0ms	256×	pre	80	true
5.0ms	13×	body	320	valid
3.0ms	13×	body	160	valid

simplify82.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	9	283
1	14	283
2	20	258
3	23	258
4	24	258
done	24	258

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:

9.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
10.0ms	(* e (sin v))

series172.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
62.0ms	(* e (sin v))

simplify1.2s

Counts

49 → 49

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	93	14411
1	229	12552
2	1158	12392
done	5001	12177

prune306.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

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)))

rewrite23.0ms

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:

6.0ms	(/ (sin v) (fma (cos v) e 1.0))
15.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

series220.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(/ (sin v) (fma (cos v) e 1.0))
137.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

simplify1.5s

Counts

69 → 69

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	130	27731
1	333	23948
2	1521	23416
done	5000	23116

prune500.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

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))))

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

series584.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (sin v) (fma (cos v) e 1.0))
215.0ms	(* e (log1p (expm1 (/ (sin v) (fma (cos v) e 1.0)))))
132.0ms	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
154.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1.0))))

simplify1.6s

Counts

83 → 83

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	156	41952
1	374	30152
2	1896	29232
done	5000	29207

prune526.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite37.0ms

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:

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

series235.0ms

Counts

2 → 6

Calls

2 calls:

103.0ms	(/ (fma (cos v) e 1.0) (sin v))
132.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify2.1s

Counts

107 → 107

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	197	51459
1	487	48291
2	2292	47155
done	5000	46919

prune743.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes216.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	258
1	9	258
done	9	258

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.4s	1491×	body	1280	valid
1.3s	1336×	body	640	valid
653.0ms	8000×	pre	80	true
526.0ms	4252×	body	80	valid
212.0ms	607×	body	320	valid
110.0ms	314×	body	160	valid