Details

sample2.2s

Algorithm

intervals

Results

1.3s	244×	body	10240	exit
316.0ms	90×	body	2560	valid
166.0ms	88×	body	1280	valid
113.0ms	47×	body	640	valid
79.0ms	506×	body	80	nan
14.0ms	20×	body	320	valid
6.0ms	8×	body	160	valid
1.0ms	3×	body	80	valid

simplify144.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

143.0ms

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.6b

localize39.0ms

Local error

Found 3 expressions with local error:

59.4b	(fmod (cosh a) (* a a))
2.3b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))

rewrite12.0ms

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

5.0ms	(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))

series133.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

118.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
12.0ms	(fmod (cosh a) (* a a))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify836.0ms

Counts

17 → 44

Calls

17 calls:

Slowest

227.0ms	(pow (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))) (log1p a))
176.0ms	(exp (* (log (fmod (cosh a) (pow a 2))) (log1p a)))
92.0ms	(pow (sqrt (fmod (cosh a) (* a a))) (log1p a))
74.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
52.0ms	(* (log (fmod (cosh a) (* a a))) (log1p a))

prune522.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 59.2b

localize30.0ms

Local error

Found 4 expressions with local error:

59.4b	(fmod (cosh a) (* a a))
14.6b	(log (exp (fmod (cosh a) (* a a))))
2.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))

rewrite15.0ms

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

7.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
0.0ms	(fmod (cosh a) (* a a))

series178.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

164.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
9.0ms	(fmod (cosh a) (* a a))
2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))

simplify1.5s

Counts

31 → 67

Calls

31 calls:

Slowest

316.0ms	(pow (sqrt (log (exp (fmod (cosh a) (* a a))))) (log1p a))
263.0ms	(pow (* (cbrt (log (exp (fmod (cosh a) (* a a))))) (cbrt (log (exp (fmod (cosh a) (* a a)))))) (log1p a))
155.0ms	(exp (* (log (fmod (cosh a) (pow a 2))) (log1p a)))
120.0ms	(pow (cbrt (fmod (cosh a) (* a a))) (log1p a))
96.0ms	(pow (sqrt (fmod (cosh a) (* a a))) (log1p a))

prune803.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 59.2b

localize63.0ms

Local error

Found 4 expressions with local error:

59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
13.9b	(log (exp (sqrt (fmod (cosh a) (* a a)))))
2.3b	(acos (* (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (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

5.0ms	(log (exp (sqrt (fmod (cosh a) (* a a)))))
4.0ms	(acos (* (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (log (exp (sqrt (fmod (cosh a) (* a a))))) (log1p a))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series34.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

21.0ms	(log (exp (sqrt (fmod (cosh a) (* a a)))))
6.0ms	(acos (* (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (log (exp (sqrt (fmod (cosh a) (* a a))))) (log1p a))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify1.5s

Counts

22 → 56

Calls

22 calls:

Slowest

408.0ms	(acos (pow (pow (sqrt (fmod (cosh a) (pow a 2))) (log1p a)) 2))
342.0ms	(acos (pow (pow (sqrt (fmod (cosh a) (pow a 2))) (log1p a)) 2))
313.0ms	(acos (pow (pow (sqrt (fmod (cosh a) (pow a 2))) (log1p a)) 2))
46.0ms	(cbrt (sqrt (fmod (cosh a) (* a a))))
45.0ms	(sqrt (sqrt (fmod (cosh a) (* a a))))

prune947.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 59.2b

localize64.0ms

Local error

Found 4 expressions with local error:

59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
13.9b	(log (exp (sqrt (fmod (cosh a) (* a a)))))
2.3b	(acos (* (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (log (exp (sqrt (fmod (cosh a) (* a a))))) (log1p a))))

rewrite5.0ms

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

3.0ms	(log (exp (sqrt (fmod (cosh a) (* a a)))))
2.0ms	(acos (* (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (log (exp (sqrt (fmod (cosh a) (* a a))))) (log1p a))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series19.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

12.0ms	(log (exp (sqrt (fmod (cosh a) (* a a)))))
3.0ms	(acos (* (pow (sqrt (fmod (cosh a) (* a a))) (log1p a)) (pow (log (exp (sqrt (fmod (cosh a) (* a a))))) (log1p a))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify1.4s

Counts

22 → 56

Calls

22 calls:

Slowest

360.0ms	(acos (pow (pow (sqrt (fmod (cosh a) (pow a 2))) (log1p a)) 2))
345.0ms	(acos (pow (pow (sqrt (fmod (cosh a) (pow a 2))) (log1p a)) 2))
317.0ms	(acos (pow (pow (sqrt (fmod (cosh a) (pow a 2))) (log1p a)) 2))
42.0ms	(cbrt (sqrt (fmod (cosh a) (* a a))))
38.0ms	(log (* (cbrt (exp (sqrt (fmod (cosh a) (* a a))))) (cbrt (exp (sqrt (fmod (cosh a) (* a a)))))))

prune940.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 59.2b

regimes435.0ms

Accuracy

0% (0.1b remaining)

Error of 59.3b against oracle of 59.2b and baseline of 59.3b

bsearch5.0ms

end0.0ms

sample37.4s

Algorithm

intervals

Results

22.2s	8094×	body	10240	exit
7.4s	3159×	body	2560	valid
3.5s	2525×	body	1280	valid
2.2s	16063×	body	80	nan
966.0ms	1251×	body	640	valid
381.0ms	658×	body	320	valid
113.0ms	293×	body	160	valid
23.0ms	9×	body	640	nan
21.0ms	114×	body	80	valid
21.0ms	8×	body	5120	nan
12.0ms	8×	body	2560	nan
6.0ms	6×	body	1280	nan
4.0ms	9×	body	320	nan
2.0ms	8×	body	160	nan