Details

sample679.0ms

Algorithm

intervals

Results

514.0ms	217×	body	10240	exit
64.0ms	68×	body	1280	valid
28.0ms	54×	body	640	valid
15.0ms	162×	body	80	nan
12.0ms	92×	body	80	valid
8.0ms	21×	body	320	valid
5.0ms	3×	body	2560	valid
5.0ms	17×	body	160	valid
3.0ms	1×	body	5120	valid

simplify18.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

18.0ms

(fmod (cosh c) (log1p a))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize56.0ms

Local error

Found 1 expressions with local error:

37.9b

(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:

Slowest

2.0ms

(fmod (cosh c) (log1p a))

series16.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

16.0ms

(fmod (cosh c) (log1p a))

simplify31.0ms

Counts

3 → 11

Calls

3 calls:

Slowest

11.0ms	(fmod (cosh c) (log1p a))
10.0ms	(fmod (cosh c) (log1p a))
9.0ms	(fmod (cosh c) (log1p a))

prune146.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 33.4b

localize26.0ms

Local error

Found 3 expressions with local error:

37.9b	(fmod (cosh c) (log1p a))
0.5b	(exp (log (fmod (cosh c) (log1p a))))
0.4b	(log (fmod (cosh c) (log1p a)))

rewrite5.0ms

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×	`add-cbrt-cube` `exp-sum` `insert-posit16` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 37

Calls

3 calls:

Slowest

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series35.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

29.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))

simplify506.0ms

Counts

21 → 46

Calls

21 calls:

Slowest

153.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
66.0ms	(exp (log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a))))))
53.0ms	(exp (log (sqrt (fmod (cosh c) (log1p a)))))
53.0ms	(exp (sqrt (log (fmod (cosh c) (log1p a)))))
32.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))

prune676.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 33.2b

localize52.0ms

Local error

Found 4 expressions with local error:

37.9b	(fmod (cosh c) (log1p a))
37.9b	(fmod (cosh c) (log1p a))
37.9b	(fmod (cosh c) (log1p a))
0.5b	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
1×	`exp-prod` `exp-to-pow` `rem-exp-log`

Counts

4 → 35

Calls

4 calls:

Slowest

18.0ms	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (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))

series11.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

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

simplify438.0ms

Counts

15 → 47

Calls

15 calls:

Slowest

144.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
103.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
99.0ms	(* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a)))))
11.0ms	(fmod (cosh c) (log1p a))
11.0ms	(fmod (cosh c) (log1p a))

prune806.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 33.2b

localize47.0ms

Local error

Found 4 expressions with local error:

37.9b	(fmod (cosh c) (log1p a))
37.9b	(fmod (cosh c) (log1p a))
37.9b	(fmod (cosh c) (log1p a))
0.6b	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (log (fmod (cosh c) (log1p a)))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

Slowest

11.0ms	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (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))

series175.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

167.0ms	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (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))

simplify1.3s

Counts

26 → 60

Calls

26 calls:

Slowest

368.0ms	(pow (* (cbrt (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))) (cbrt (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))))) (cbrt (log (fmod (cosh c) (log1p a)))))
308.0ms	(pow (sqrt (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))) (cbrt (log (fmod (cosh c) (log1p a)))))
140.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
82.0ms	(* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a)))))
56.0ms	(exp (cbrt (log (fmod (cosh c) (log1p a)))))

prune1.0s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 33.2b

regimes737.0ms

Accuracy

0% (0.2b remaining)

Error of 33.6b against oracle of 33.4b and baseline of 33.6b

bsearch2.0ms

end0.0ms

sample20.2s

Algorithm

intervals

Results

14.2s	7912×	body	10240	exit
2.1s	2261×	body	1280	valid
1.3s	1601×	body	640	valid
838.0ms	5223×	body	80	nan
543.0ms	388×	body	160	valid
344.0ms	2863×	body	80	valid
266.0ms	734×	body	320	valid
243.0ms	143×	body	2560	valid
27.0ms	10×	body	5120	valid