Details

sample1.5s

Algorithm

intervals

Results

836.0ms	235×	body	10240	exit
265.0ms	92×	body	2560	valid
129.0ms	84×	body	1280	valid
126.0ms	509×	body	80	nan
37.0ms	39×	body	640	valid
18.0ms	27×	body	320	valid
6.0ms	10×	body	160	valid
1.0ms	4×	body	80	valid
1.0ms	1×	body	160	nan

simplify103.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

103.0ms

(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.5b

localize26.0ms

Local error

Found 3 expressions with local error:

58.7b	(fmod (cosh a) (* a a))
2.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 35

Calls

3 calls:

Slowest

3.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))

series171.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

160.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
8.0ms	(fmod (cosh a) (* a a))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify858.0ms

Counts

17 → 44

Calls

17 calls:

Slowest

262.0ms	(pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a))
173.0ms	(exp (* (log (fmod (cosh a) (pow a 2))) (log1p a)))
115.0ms	(pow (sqrt (fmod (cosh a) (* a a))) (log1p a))
51.0ms	(* (log (fmod (cosh a) (* a a))) (log1p a))
51.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))

prune502.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 58.9b

localize35.0ms

Local error

Found 4 expressions with local error:

58.7b	(fmod (cosh a) (* a a))
9.9b	(log (exp (fmod (cosh a) (* a a))))
2.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

Slowest

5.0ms	(log (exp (fmod (cosh a) (* a a))))
4.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series148.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

141.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(log (exp (fmod (cosh a) (* a a))))

simplify1.4s

Counts

31 → 67

Calls

31 calls:

Slowest

276.0ms	(pow (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (log1p a))
260.0ms	(pow (sqrt (log (exp (fmod (cosh a) (* a a))))) (log1p a))
112.0ms	(exp (* (log (fmod (cosh a) (pow a 2))) (log1p a)))
101.0ms	(pow (sqrt (fmod (cosh a) (* a a))) (log1p a))
87.0ms	(pow (cbrt (fmod (cosh a) (* a a))) (log1p a))

prune736.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 58.9b

localize31.0ms

Local error

Found 4 expressions with local error:

58.7b	(fmod (cosh a) (* a a))
9.9b	(log (exp (fmod (cosh a) (* a a))))
2.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
1.2b	(log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity` `log-pow` `add-cube-cbrt`
6×	`pow1` `log-prod` `exp-prod`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`acos-asin` `rem-log-exp`
1×	`log-div` `exp-diff`

Counts

4 → 50

Calls

4 calls:

Slowest

7.0ms	(log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
0.0ms	(fmod (cosh a) (* a a))

series18.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

5.0ms	(log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))
5.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(log (exp (fmod (cosh a) (* a a))))

simplify2.1s

Counts

27 → 62

Calls

27 calls:

Slowest

294.0ms	(cbrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
294.0ms	(log (* (cbrt (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))) (cbrt (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))))
278.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
257.0ms	(sqrt (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
254.0ms	(log (sqrt (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))))

prune877.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 58.9b

localize48.0ms

Local error

Found 4 expressions with local error:

58.7b	(fmod (cosh a) (* a a))
58.7b	(fmod (cosh a) (* a a))
9.1b	(log (exp (sqrt (fmod (cosh a) (* a a)))))
2.1b	(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

Slowest

6.0ms	(log (exp (sqrt (fmod (cosh a) (* a a)))))
3.0ms	(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series22.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

14.0ms	(log (exp (sqrt (fmod (cosh a) (* a a)))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))

simplify582.0ms

Counts

22 → 56

Calls

22 calls:

Slowest

61.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
50.0ms	(sqrt (sqrt (fmod (cosh a) (* a a))))
49.0ms	(log (* (cbrt (exp (sqrt (fmod (cosh a) (* a a))))) (cbrt (exp (sqrt (fmod (cosh a) (* a a)))))))
48.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
48.0ms	(sqrt (cbrt (fmod (cosh a) (* a a))))

prune754.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 58.9b

regimes303.0ms

Accuracy

0% (0.2b remaining)

Error of 59.2b against oracle of 59.0b and baseline of 59.2b

bsearch7.0ms

end0.0ms

sample33.2s

Algorithm

intervals

Results

18.7s	7961×	body	10240	exit
6.6s	3115×	body	2560	valid
3.4s	2510×	body	1280	valid
2.6s	15968×	body	80	nan
870.0ms	1266×	body	640	valid
341.0ms	640×	body	320	valid
134.0ms	348×	body	160	valid
20.0ms	121×	body	80	valid
17.0ms	7×	body	5120	nan
7.0ms	8×	body	1280	nan
6.0ms	5×	body	2560	nan
5.0ms	8×	body	640	nan
3.0ms	7×	body	320	nan
3.0ms	9×	body	160	nan