Details

sample1.1s

Algorithm

intervals

Results

747.0ms	230×	body	10240	exit
203.0ms	74×	body	1280	valid
35.0ms	58×	body	640	valid
19.0ms	163×	body	80	nan
12.0ms	24×	body	320	valid
12.0ms	6×	body	2560	valid
12.0ms	84×	body	80	valid
3.0ms	10×	body	160	valid

simplify16.0ms

Calls

1 calls:

Slowest

15.0ms

(fmod (cosh c) (log1p a))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.3b

localize362.0ms

Local error

Found 2 expressions with local error:

40.3b	(fmod (cosh c) (log1p a))
0.0b	(cosh c)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

2.0ms	(fmod (cosh c) (log1p a))
1.0ms	(cosh c)

series76.0ms

Calls

2 calls:

Slowest

59.0ms	(cosh c)
17.0ms	(fmod (cosh c) (log1p a))

simplify173.0ms

Calls

6 calls:

Slowest

75.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
35.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
27.0ms	(* 1/2 (+ (exp c) (exp (- c))))
12.0ms	(fmod (cosh c) (log1p a))
11.0ms	(fmod (cosh c) (log1p a))

prune251.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 35.2b

localize5.0ms

Local error

Found 4 expressions with local error:

40.3b	(fmod (cosh c) (log1p a))
0.5b	(exp (log (fmod (cosh c) (log1p a))))
0.2b	(log (fmod (cosh c) (log1p a)))
0.0b	(cosh c)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 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))
0.0ms	(cosh c)

series81.0ms

Calls

4 calls:

Slowest

54.0ms	(cosh c)
22.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))
2.0ms	(exp (log (fmod (cosh c) (log1p a))))

simplify534.0ms

Calls

24 calls:

Slowest

64.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
60.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
60.0ms	(exp (log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a))))))
56.0ms	(exp (sqrt (log (fmod (cosh c) (log1p a)))))
53.0ms	(exp (log (sqrt (fmod (cosh c) (log1p a)))))

prune898.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 35.1b

localize19.0ms

Local error

Found 4 expressions with local error:

40.3b	(fmod (cosh c) (log1p a))
40.3b	(fmod (cosh c) (log1p a))
40.3b	(fmod (cosh c) (log1p a))
0.5b	(exp (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

7.0ms	(exp (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (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))

series10.0ms

Calls

4 calls:

Slowest

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

simplify326.0ms

Calls

17 calls:

Slowest

55.0ms	(exp (* (cbrt (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a)))))) (cbrt (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))))))
54.0ms	(exp (cbrt (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a))))))
51.0ms	(exp (sqrt (cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a)))))))
34.0ms	(cbrt (* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a)))))
11.0ms	(fmod (cosh c) (log1p a))

prune786.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 35.1b

localize24.0ms

Local error

Found 4 expressions with local error:

40.3b	(fmod (cosh c) (log1p a))
40.3b	(fmod (cosh c) (log1p a))
40.3b	(fmod (cosh c) (log1p a))
0.6b	(pow (exp (cbrt (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))))) (cbrt (log (fmod (cosh c) (log1p a)))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

9.0ms	(pow (exp (cbrt (* (log (fmod (cosh c) (log1p a))) (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))

series192.0ms

Calls

4 calls:

Slowest

179.0ms	(pow (exp (cbrt (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))))) (cbrt (log (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))

simplify624.0ms

Calls

28 calls:

Slowest

61.0ms	(exp (* (cbrt (cbrt (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))))) (cbrt (cbrt (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a))))))))
59.0ms	(exp (cbrt (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a))))))
48.0ms	(pow (* (cbrt (exp (cbrt (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a))))))) (cbrt (exp (cbrt (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))))))) (cbrt (log (fmod (cosh c) (log1p a)))))
42.0ms	(exp (sqrt (cbrt (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))))))
41.0ms	(pow (sqrt (exp (cbrt (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a))))))) (cbrt (log (fmod (cosh c) (log1p a)))))

prune812.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 35.1b

regimes677.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample17.2s

Algorithm

intervals

Results

12.3s	7835×	body	10240	exit
2.2s	2337×	body	1280	valid
1.1s	1570×	body	640	valid
358.0ms	5316×	body	80	nan
339.0ms	2741×	body	80	valid
247.0ms	778×	body	320	valid
226.0ms	158×	body	2560	valid
80.0ms	411×	body	160	valid
13.0ms	5×	body	5120	valid