Details

sample1.1s

Algorithm

intervals

Results

885.0ms	277×	body	10240	exit
79.0ms	68×	body	1280	valid
68.0ms	204×	body	80	nan
34.0ms	47×	body	640	valid
15.0ms	99×	body	80	valid
14.0ms	6×	body	2560	valid
11.0ms	24×	body	320	valid
4.0ms	12×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	16
3	16
2	14
1	11
0	5

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize15.0ms

Local error

Found 1 expressions with local error:

37.0b

(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

1 → 8

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series17.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(fmod (cosh c) (log1p a))

simplify6.3s

Counts

11 → 11

Iterations

Iter	Nodes
10	6695
9	1474
8	499
7	202
6	98
5	59
4	39
3	31
2	25
1	20
0	13

prune150.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 32.6b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
37.0b	(fmod (cosh c) (log1p a))
37.0b	(fmod (cosh c) (log1p a))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`pow1` `sqrt-prod`
11×	`*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`associate-r` `associate-l`
5×	`add-cbrt-cube` `add-exp-log` `pow-prod-up`
4×	`unswap-sqr`
3×	`pow-prod-down` `pow-sqr` `insert-posit16` `add-log-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 66

Calls

3 calls:

19.0ms	(* (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))

series15.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

simplify1.5s

Counts

75 → 75

Iterations

Iter	Nodes
5	2662
4	743
3	388
2	224
1	112
0	58

prune990.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 32.6b

localize40.0ms

Local error

Found 4 expressions with local error:

37.0b	(fmod (cosh c) (log1p a))
37.0b	(fmod (cosh c) (log1p a))
37.0b	(fmod (cosh c) (log1p a))
37.0b	(fmod (cosh c) (log1p a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series11.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify4.8s

Counts

44 → 44

Iterations

Iter	Nodes
10	6695
9	1474
8	499
7	202
6	98
5	59
4	39
3	31
2	25
1	20
0	13

prune505.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 32.6b

localize38.0ms

Local error

Found 4 expressions with local error:

37.0b	(fmod (cosh c) (log1p a))
37.0b	(fmod (cosh c) (log1p a))
37.0b	(fmod (cosh c) (log1p a))
37.0b	(fmod (cosh c) (log1p a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series10.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify3.7s

Counts

44 → 44

Iterations

Iter	Nodes
10	6695
9	1474
8	499
7	202
6	98
5	59
4	39
3	31
2	25
1	20
0	13

prune475.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 32.6b

regimes439.0ms

Accuracy

0% (0.0b remaining)

Error of 34.0b against oracle of 34.0b and baseline of 34.0b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	17
1	17
0	14

end0.0ms

sample15.7s

Algorithm

intervals

Results

11.4s	7828×	body	10240	exit
1.6s	2284×	body	1280	valid
868.0ms	1582×	body	640	valid
660.0ms	5277×	body	80	nan
258.0ms	2789×	body	80	valid
234.0ms	161×	body	2560	valid
179.0ms	752×	body	320	valid
95.0ms	426×	body	160	valid
11.0ms	6×	body	5120	valid