Details

sample747.0ms

Algorithm

intervals

Results

576.0ms	277×	body	10240	exit
68.0ms	77×	body	1280	valid
26.0ms	52×	body	640	valid
17.0ms	185×	body	80	nan
12.0ms	6×	body	2560	valid
10.0ms	85×	body	80	valid
7.0ms	21×	body	320	valid
3.0ms	15×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	14
2	14
1	11
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.5b

localize37.0ms

Local error

Found 1 expressions with local error:

39.2b

(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))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(fmod (cosh c) (log1p a))

simplify6.7s

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

prune127.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 34.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.4b	(log (fmod (cosh c) (log1p a)))
0.5b	(exp (log (fmod (cosh c) (log1p a))))
39.2b	(fmod (cosh c) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

3.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(fmod (cosh c) (log1p a))

series52.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(exp (log (fmod (cosh c) (log1p a))))
5.0ms	(fmod (cosh c) (log1p a))

simplify3.1s

Counts

52 → 52

Iterations

Iter	Nodes
8	3766
7	1303
6	603
5	334
4	199
3	136
2	94
1	70
0	47

prune736.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 34.3b

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))))
39.2b	(fmod (cosh c) (log1p a))
39.2b	(fmod (cosh c) (log1p a))

rewrite30.0ms

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:

3.0ms	(sqrt (fmod (cosh c) (log1p a)))
25.0ms	(* (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))

series20.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (fmod (cosh c) (log1p a)))
3.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify877.0ms

Counts

100 → 100

Iterations

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

prune1.2s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 34.3b

localize46.0ms

Local error

Found 4 expressions with local error:

39.2b	(fmod (cosh c) (log1p a))
39.2b	(fmod (cosh c) (log1p a))
39.2b	(fmod (cosh c) (log1p a))
39.2b	(fmod (cosh c) (log1p a))

rewrite2.0ms

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))
1.0ms	(fmod (cosh c) (log1p a))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(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

prune658.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 34.3b

regimes725.0ms

Accuracy

0% (0.2b remaining)

Error of 34.3b against oracle of 34.1b and baseline of 34.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
1	9
0	9

end0.0ms

sample23.0s

Algorithm

intervals

Results

16.4s	7738×	body	10240	exit
3.1s	2338×	body	1280	valid
1.0s	1605×	body	640	valid
644.0ms	5301×	body	80	nan
401.0ms	2751×	body	80	valid
364.0ms	164×	body	2560	valid
292.0ms	735×	body	320	valid
104.0ms	398×	body	160	valid
53.0ms	9×	body	5120	valid