Details

sample326.0ms

Algorithm

intervals

Results

244.0ms	245×	body	10240	exit
34.0ms	79×	body	1280	valid
12.0ms	55×	body	640	valid
5.0ms	179×	body	80	nan
3.0ms	81×	body	80	valid
3.0ms	2×	body	5120	valid
3.0ms	23×	body	320	valid
1.0ms	2×	body	2560	valid
1.0ms	14×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	5
1	11	5
2	14	5
3	16	5
done	16	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.8b

localize6.0ms

Local error

Found 1 expressions with local error:

40.4b

(fmod (cosh c) (log1p a))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 9

Calls

1 calls:

0.0ms

(fmod (cosh c) (log1p a))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(fmod (cosh c) (log1p a))

simplify2.3s

Counts

12 → 12

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	14	87
1	21	87
2	26	77
3	32	77
4	38	77
5	48	77
6	71	77
7	128	77
8	335	77
9	1258	77
done	5000	77

prune42.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
40.4b	(fmod (cosh c) (log1p a))
40.4b	(fmod (cosh c) (log1p a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`pow1` `sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`associate-r` `associate-l`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 69

Calls

3 calls:

6.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series6.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify3.5s

Counts

78 → 78

Iterations

Useful iterations: 5 (1.8s)

Iter	Nodes	Cost
0	60	1030
1	96	646
2	209	572
3	501	545
4	984	521
5	4639	515
done	5001	515

prune162.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 35.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3) (sqrt (sqrt (fmod (cosh c) (log1p a)))))
0.1b	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)
40.4b	(fmod (cosh c) (log1p a))
40.4b	(fmod (cosh c) (log1p a))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

87×	`sqrt-prod`
66×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
21×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`associate-r`
8×	`pow1`
7×	`add-cbrt-cube`
5×	`pow-pow` `sqr-pow`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `pow1/2` `unpow3` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 133

Calls

4 calls:

18.0ms	(* (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3) (sqrt (sqrt (fmod (cosh c) (log1p a)))))
3.0ms	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series63.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3) (sqrt (sqrt (fmod (cosh c) (log1p a)))))
57.0ms	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify853.0ms

Counts

145 → 145

Iterations

Useful iterations: 2 (120.0ms)

Iter	Nodes	Cost
0	106	2678
1	247	1913
2	803	1661
done	5000	1661

prune343.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 35.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 3))
0.8b	(pow (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 3)) (sqrt 3))
40.4b	(fmod (cosh c) (log1p a))
40.4b	(fmod (cosh c) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

31×	`unpow-prod-down`
24×	`sqrt-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`pow-unpow`
7×	`pow1` `add-exp-log`
6×	`pow-pow`
5×	`pow-exp`
4×	`expm1-log1p-u` `sqrt-pow1` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `sqr-pow`
2×	`pow1/2`
1×	`sqrt-pow2`

Counts

4 → 85

Calls

4 calls:

3.0ms	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 3))
5.0ms	(pow (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 3)) (sqrt 3))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series337.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 3))
213.0ms	(pow (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 3)) (sqrt 3))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify2.0s

Counts

97 → 97

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	113	1441
1	231	1304
2	450	1259
3	1016	1259
4	3299	1259
done	5000	1259

prune289.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 35.8b

regimes435.0ms

Accuracy

0% (0.1b remaining)

Error of 34.4b against oracle of 34.4b and baseline of 34.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	14	19
done	14	19

end0.0ms

sample10.4s

Algorithm

intervals

Results

7.9s	7700×	body	10240	exit
1.1s	2357×	body	1280	valid
335.0ms	1534×	body	640	valid
193.0ms	173×	body	2560	valid
168.0ms	5226×	body	80	nan
112.0ms	2738×	body	80	valid
108.0ms	784×	body	320	valid
38.0ms	402×	body	160	valid
23.0ms	12×	body	5120	valid