Details

sample363.0ms

Algorithm

intervals

Results

20.0ms	49×	body	1280	valid
9.0ms	37×	body	640	valid
8.0ms	139×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	19×	body	320	valid
2.0ms	12×	body	160	valid

simplify48.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (35.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:

12.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
11.0ms	(* e (sin v))

series153.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(/ (* e (sin v)) (fma (cos v) e 1.0))
55.0ms	(* e (sin v))

simplify1.4s

Counts

49 → 49

Iterations

Useful iterations: 3 (568.0ms)

Iter	Nodes	Cost
0	93	565
1	217	549
2	708	469
3	2925	465
done	5000	465

prune124.0ms

Pruning

6 alts after pruning (6 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)))

rewrite28.0ms

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:

11.0ms	(/ (sin v) (fma (cos v) e 1.0))
15.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ (sin v) (fma (cos v) e 1.0))
95.0ms	(* e (/ (sin v) (fma (cos v) e 1.0)))

simplify1.4s

Counts

69 → 69

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	130	1053
1	301	1020
2	933	920
3	3068	913
done	5000	909

prune185.0ms

Pruning

8 alts after pruning (8 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)))))
0.2b	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
0.2b	(log1p (expm1 (/ (sin v) (fma (cos v) e 1.0))))

rewrite18.0ms

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:

8.0ms	(/ (sin v) (fma (cos v) e 1.0))
7.0ms	(* 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))))

series389.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (sin v) (fma (cos v) e 1.0))
155.0ms	(* e (log1p (expm1 (/ (sin v) (fma (cos v) e 1.0)))))
83.0ms	(expm1 (/ (sin v) (fma (cos v) e 1.0)))
97.0ms	(log1p (expm1 (/ (sin v) (fma (cos v) e 1.0))))

simplify591.0ms

Counts

83 → 83

Iterations

Useful iterations: done (589.0ms)

Iter	Nodes	Cost
0	160	1442
1	355	1329
2	1133	1213
done	5000	1200

prune239.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

9.0ms	(/ (sin v) (fma (cos v) e 1.0))
32.0ms	(* (sqrt e) (* (sqrt e) (/ (sin v) (fma (cos v) e 1.0))))
22.0ms	(* (sqrt e) (/ (sin v) (fma (cos v) e 1.0)))

series303.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (sin v) (fma (cos v) e 1.0))
104.0ms	(* (sqrt e) (* (sqrt e) (/ (sin v) (fma (cos v) e 1.0))))
146.0ms	(* (sqrt e) (/ (sin v) (fma (cos v) e 1.0)))

simplify1.1s

Counts

103 → 103

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	186	1912
1	478	1740
2	1717	1544
done	5000	1495

prune273.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	12	14
done	12	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

614.0ms	1476×	body	1280	valid
306.0ms	1206×	body	640	valid
235.0ms	4371×	body	80	valid
109.0ms	639×	body	320	valid
108.0ms	8000×	pre	80	true
37.0ms	308×	body	160	valid