Details

sample300.0ms

Algorithm

intervals

Results

20.0ms	47×	body	1280	valid
12.0ms	46×	body	640	valid
7.0ms	134×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	19×	body	320	valid
1.0ms	10×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	20	10
3	23	10
4	24	10
done	24	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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

Counts

2 → 43

Calls

2 calls:

4.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
6.0ms	(* e (sin v))

series141.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
47.0ms	(* e (sin v))

simplify1.6s

Counts

49 → 49

Iterations

Useful iterations: 3 (593.0ms)

Iter	Nodes	Cost
0	93	565
1	218	549
2	737	469
3	3416	465
done	5000	465

prune128.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

3.0ms	(/ (sin v) (fma (cos v) e 1.0))
8.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

series147.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (sin v) (fma (cos v) e 1.0))
91.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

simplify1.6s

Counts

69 → 69

Iterations

Useful iterations: 3 (739.0ms)

Iter	Nodes	Cost
0	130	1053
1	305	1020
2	969	920
3	3877	913
done	5001	913

prune196.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

3.0ms	(/ (sin v) (fma (cos v) e 1.0))
3.0ms	(* 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))))

series363.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (sin v) (fma (cos v) e 1.0))
139.0ms	(* e (log1p (expm1 (/ (sin v) (fma (cos v) e 1.0)))))
77.0ms	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
92.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1.0))))

simplify535.0ms

Counts

83 → 83

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	160	1442
1	356	1329
2	1217	1213
done	5001	1213

prune256.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite12.0ms

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:

2.0ms	(/ (fma (cos v) e 1.0) (sin v))
5.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

series157.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ (fma (cos v) e 1.0) (sin v))
89.0ms	(/ e (/ (fma (cos v) e 1.0) (sin v)))

simplify1.2s

Counts

107 → 107

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	197	1980
1	440	1894
2	1353	1785
done	5000	1781

prune290.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	9	10
done	9	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

632.0ms	1495×	body	1280	valid
331.0ms	1261×	body	640	valid
230.0ms	4324×	body	80	valid
115.0ms	613×	body	320	valid
108.0ms	8000×	pre	80	true
37.0ms	307×	body	160	valid