Details

sample766.0ms

Algorithm

intervals

Results

585.0ms	273×	body	10240	exit
72.0ms	71×	body	1280	valid
31.0ms	57×	body	640	valid
16.0ms	172×	body	80	nan
15.0ms	6×	body	2560	valid
11.0ms	91×	body	80	valid
6.0ms	16×	body	320	valid
4.0ms	15×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	14
2	14
1	11
0	5

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.5b

localize36.0ms

Local error

Found 1 expressions with local error:

38.0b

(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(fmod (cosh c) (log1p a))

simplify7.0s

Counts

13 → 13

Iterations

Iter	Nodes
10	7331
9	1613
8	503
7	204
6	98
5	59
4	39
3	31
2	27
1	22
0	15

prune157.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 33.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fmod (cosh c) (log1p a)))
0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
38.0b	(fmod (cosh c) (log1p a))
38.0b	(fmod (cosh c) (log1p a))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (fmod (cosh c) (log1p a)))
15.0ms	(* (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))

series31.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (fmod (cosh c) (log1p a)))
4.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify1.0s

Counts

100 → 100

Iterations

Iter	Nodes
4	2472
3	516
2	225
1	121
0	66

prune1.2s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 33.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (fmod (cosh c) (log1p a)))
38.0b	(fmod (cosh c) (log1p a))
38.0b	(fmod (cosh c) (log1p a))
38.0b	(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`
1×	`pow1/3`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt (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))

series77.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(cbrt (fmod (cosh c) (log1p a)))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

simplify1.3s

Counts

56 → 56

Iterations

Iter	Nodes
5	2551
4	477
3	139
2	77
1	45
0	30

prune847.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 33.4b

localize44.0ms

Local error

Found 4 expressions with local error:

38.0b	(fmod (cosh c) (log1p a))
38.0b	(fmod (cosh c) (log1p a))
38.0b	(fmod (cosh c) (log1p a))
38.0b	(fmod (cosh c) (log1p a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

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))

series12.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify7.0s

Counts

52 → 52

Iterations

Iter	Nodes
10	7331
9	1613
8	503
7	204
6	98
5	59
4	39
3	31
2	27
1	22
0	15

prune911.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 33.4b

regimes661.0ms

Accuracy

0% (0.1b remaining)

Error of 34.5b against oracle of 34.5b and baseline of 34.5b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	18
1	18
0	14

end0.0ms

sample23.3s

Algorithm

intervals

Results

16.3s	7967×	body	10240	exit
3.4s	2278×	body	1280	valid
1.3s	1649×	body	640	valid
599.0ms	5242×	body	80	nan
395.0ms	2724×	body	80	valid
339.0ms	768×	body	320	valid
313.0ms	169×	body	2560	valid
107.0ms	404×	body	160	valid
24.0ms	8×	body	5120	valid