Details

sample829.0ms

Algorithm

intervals

Results

638.0ms	260×	body	10240	exit
73.0ms	65×	body	1280	valid
39.0ms	57×	body	640	valid
19.0ms	178×	body	80	nan
14.0ms	98×	body	80	valid
11.0ms	25×	body	320	valid
3.0ms	11×	body	160	valid

simplify21.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

20.0ms

(fmod (cosh c) (log1p a))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.1b

localize60.0ms

Local error

Found 1 expressions with local error:

36.5b

(fmod (cosh c) (log1p a))

rewrite4.0ms

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))

series12.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

12.0ms

(fmod (cosh c) (log1p a))

simplify17.0ms

Counts

3 → 13

Calls

3 calls:

Slowest

6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

prune178.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 32.1b

localize20.0ms

Local error

Found 3 expressions with local error:

36.5b	(fmod (cosh c) (log1p a))
2.3b	(log (fmod (cosh c) (log1p a)))
0.6b	(exp (log (fmod (cosh c) (log1p a))))

rewrite6.0ms

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

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
2.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series35.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

28.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))

simplify486.0ms

Counts

21 → 52

Calls

21 calls:

Slowest

137.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
54.0ms	(exp (log (sqrt (fmod (cosh c) (log1p a)))))
48.0ms	(exp (log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a))))))
44.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))
40.0ms	(exp (sqrt (log (fmod (cosh c) (log1p a)))))

prune683.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 32.0b

localize16.0ms

Local error

Found 4 expressions with local error:

36.5b	(fmod (cosh c) (log1p a))
36.5b	(fmod (cosh c) (log1p a))
0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0b	(sqrt (fmod (cosh c) (log1p a)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 88

Calls

4 calls:

Slowest

13.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
1.0ms	(sqrt (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series19.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

10.0ms	(sqrt (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))

simplify2.0s

Counts

78 → 100

Calls

78 calls:

Slowest

176.0ms	(* (* (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a)))) (sqrt (fmod (cosh c) (log1p a)))) (* (* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a)))) (sqrt (fmod (cosh c) (log1p a)))))
123.0ms	(* (* (cbrt (sqrt (fmod (cosh c) (log1p a)))) (cbrt (sqrt (fmod (cosh c) (log1p a))))) (* (cbrt (sqrt (fmod (cosh c) (log1p a)))) (cbrt (sqrt (fmod (cosh c) (log1p a))))))
54.0ms	(* (sqrt (cbrt (fmod (cosh c) (log1p a)))) (sqrt (cbrt (fmod (cosh c) (log1p a)))))
53.0ms	(* (cbrt (sqrt (fmod (cosh c) (log1p a)))) (cbrt (sqrt (fmod (cosh c) (log1p a)))))
53.0ms	(* (sqrt (sqrt (fmod (cosh c) (log1p a)))) (sqrt (sqrt (fmod (cosh c) (log1p a)))))

prune1.2s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 32.0b

localize34.0ms

Local error

Found 4 expressions with local error:

36.5b	(fmod (cosh c) (log1p a))
36.5b	(fmod (cosh c) (log1p a))
36.5b	(fmod (cosh c) (log1p a))
2.3b	(log (fmod (cosh c) (log1p a)))

rewrite3.0ms

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))

series41.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

32.0ms	(log (fmod (cosh c) (log1p a)))
4.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify226.0ms

Counts

16 → 57

Calls

16 calls:

Slowest

46.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))
29.0ms	(log (sqrt (fmod (cosh c) (log1p a))))
23.0ms	(log (fmod (cosh c) (log1p a)))
23.0ms	(log (fmod (cosh c) (log1p a)))
22.0ms	(log (fmod (cosh c) (log1p a)))

prune864.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 32.0b

regimes812.0ms

Accuracy

0% (0.2b remaining)

Error of 33.9b against oracle of 33.7b and baseline of 33.9b

bsearch1.0ms

end0.0ms

sample17.9s

Algorithm

intervals

Results

13.4s	7915×	body	10240	exit
1.8s	2301×	body	1280	valid
767.0ms	1521×	body	640	valid
509.0ms	5351×	body	80	nan
322.0ms	2815×	body	80	valid
282.0ms	796×	body	320	valid
196.0ms	133×	body	2560	valid
85.0ms	420×	body	160	valid
52.0ms	14×	body	5120	valid