Details

sample708.0ms

Algorithm

intervals

Results

505.0ms	228×	body	10240	exit
76.0ms	74×	body	1280	valid
53.0ms	43×	body	640	valid
16.0ms	161×	body	80	nan
13.0ms	94×	body	80	valid
10.0ms	28×	body	320	valid
9.0ms	5×	body	2560	valid
3.0ms	12×	body	160	valid

simplify23.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

22.0ms

(fmod (cosh c) (log1p a))

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize13.0ms

Local error

Found 1 expressions with local error:

37.4b

(fmod (cosh c) (log1p a))

rewrite2.0ms

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:

Slowest

1.0ms

(fmod (cosh c) (log1p a))

series10.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

10.0ms

(fmod (cosh c) (log1p a))

simplify23.0ms

Counts

3 → 13

Calls

3 calls:

Slowest

11.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

prune217.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 33.1b

localize31.0ms

Local error

Found 3 expressions with local error:

37.4b	(fmod (cosh c) (log1p a))
1.1b	(log (fmod (cosh c) (log1p a)))
0.6b	(exp (log (fmod (cosh c) (log1p a))))

rewrite9.0ms

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:

Slowest

5.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series25.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

20.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))
2.0ms	(exp (log (fmod (cosh c) (log1p a))))

simplify448.0ms

Counts

21 → 52

Calls

21 calls:

Slowest

131.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
48.0ms	(exp (log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a))))))
48.0ms	(exp (log (sqrt (fmod (cosh c) (log1p a)))))
45.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))
30.0ms	(log (sqrt (fmod (cosh c) (log1p a))))

prune733.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 32.9b

localize42.0ms

Local error

Found 3 expressions with local error:

37.4b	(fmod (cosh c) (log1p a))
1.1b	(log (fmod (cosh c) (log1p a)))
0.7b	(pow E (log (fmod (cosh c) (log1p a))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

Slowest

5.0ms	(pow E (log (fmod (cosh c) (log1p a))))
2.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series72.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

43.0ms	(pow E (log (fmod (cosh c) (log1p a))))
24.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(fmod (cosh c) (log1p a))

simplify792.0ms

Counts

25 → 59

Calls

25 calls:

Slowest

132.0ms	(pow E (log (sqrt (fmod (cosh c) (log1p a)))))
123.0ms	(pow E (log (cbrt (fmod (cosh c) (log1p a)))))
72.0ms	(pow (* (cbrt E) (cbrt E)) (log (fmod (cosh c) (log1p a))))
58.0ms	(pow (sqrt E) (log (fmod (cosh c) (log1p a))))
56.0ms	(pow E (log (fmod (cosh c) (log1p a))))

prune813.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 32.9b

localize31.0ms

Local error

Found 4 expressions with local error:

37.4b	(fmod (cosh c) (log1p a))
37.4b	(fmod (cosh c) (log1p a))
37.4b	(fmod (cosh c) (log1p a))
1.1b	(log (fmod (cosh c) (log1p a)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

Slowest

1.0ms	(log (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))

series27.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

19.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify203.0ms

Counts

16 → 57

Calls

16 calls:

Slowest

32.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))
26.0ms	(log (fmod (cosh c) (log1p a)))
24.0ms	(log (fmod (cosh c) (log1p a)))
23.0ms	(log (fmod (cosh c) (log1p a)))
20.0ms	(log (sqrt (fmod (cosh c) (log1p a))))

prune780.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 32.9b

regimes712.0ms

Accuracy

0% (0.2b remaining)

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

bsearch6.0ms

end0.0ms

sample18.3s

Algorithm

intervals

Results

13.7s	7961×	body	10240	exit
2.2s	2315×	body	1280	valid
716.0ms	1575×	body	640	valid
426.0ms	5304×	body	80	nan
325.0ms	2759×	body	80	valid
236.0ms	145×	body	2560	valid
221.0ms	783×	body	320	valid
82.0ms	414×	body	160	valid
21.0ms	9×	body	5120	valid