Details

sample312.0ms

Algorithm

intervals

Results

233.0ms	245×	body	10240	exit
33.0ms	79×	body	1280	valid
12.0ms	55×	body	640	valid
5.0ms	179×	body	80	nan
3.0ms	2×	body	5120	valid
3.0ms	81×	body	80	valid
3.0ms	23×	body	320	valid
1.0ms	2×	body	2560	valid
1.0ms	14×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	5
1	11	5
2	14	5
3	16	5
4	18	5
5	19	5
6	24	5
7	32	5
8	52	5
9	106	5
10	619	5
done	5000	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))

simplify1.7s

Counts

12 → 12

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	14	87
1	21	87
2	26	77
3	32	77
4	40	77
5	61	77
6	122	77
7	357	77
8	1255	77
done	5000	77

prune43.0ms

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:

7.0ms	(* (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))

simplify1.4s

Counts

78 → 78

Iterations

Useful iterations: 3 (269.0ms)

Iter	Nodes	Cost
0	60	1030
1	96	646
2	274	572
3	1581	545
done	5001	545

prune150.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 35.8b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

87×	`sqrt-prod`
66×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-r` `unswap-sqr`
21×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`associate-l`
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×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 132

Calls

4 calls:

22.0ms	(* (sqrt (sqrt (fmod (cosh c) (log1p a)))) (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3))
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	(* (sqrt (sqrt (fmod (cosh c) (log1p a)))) (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3))
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))

simplify563.0ms

Counts

144 → 144

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	108	2687
1	242	2312
2	904	1698
done	5000	1698

prune337.0ms

Pruning

17 alts after pruning (17 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))
6.0ms	(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))

series330.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt 3))
211.0ms	(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))

simplify2.6s

Counts

97 → 97

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	113	1441
1	231	1304
2	471	1259
3	1223	1259
4	4733	1259
done	5000	1259

prune293.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 35.8b

regimes461.0ms

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

sample10.3s

Algorithm

intervals

Results

7.8s	7700×	body	10240	exit
1.1s	2357×	body	1280	valid
331.0ms	1534×	body	640	valid
191.0ms	173×	body	2560	valid
151.0ms	5226×	body	80	nan
110.0ms	2738×	body	80	valid
99.0ms	784×	body	320	valid
37.0ms	402×	body	160	valid
22.0ms	12×	body	5120	valid