Details

sample837.0ms

Algorithm

intervals

Results

546.0ms	278×	body	10240	exit
96.0ms	85×	body	1280	valid
78.0ms	169×	body	80	nan
51.0ms	49×	body	640	valid
7.0ms	24×	body	320	valid
7.0ms	5×	body	2560	valid
6.0ms	83×	body	80	valid
2.0ms	10×	body	160	valid

simplify11.5s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.1b

localize19.0ms

Local error

Found 1 expressions with local error:

40.0b

(fmod (cosh c) (log1p a))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

1 → 7

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(fmod (cosh c) (log1p a))

simplify2.5s

Counts: 10 → 10

prune67.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fmod (cosh c) (log1p a)))
0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
40.0b	(fmod (cosh c) (log1p a))
40.0b	(fmod (cosh c) (log1p a))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

1.0ms	(sqrt (fmod (cosh c) (log1p a)))
15.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series36.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (fmod (cosh c) (log1p a)))
6.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

simplify5.9s

Counts: 88 → 88

prune268.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 35.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.5b	(exp (log (fmod (cosh c) (log1p a))))
1.5b	(log (fmod (cosh c) (log1p a)))
40.0b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 34

Calls

3 calls:

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

series34.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify995.0ms

Counts: 43 → 43

prune253.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 35.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
0.5b	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
1.5b	(log (fmod (cosh c) (log1p a)))
40.0b	(fmod (cosh c) (log1p a))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
17×	`exp-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow1`
8×	`unpow-prod-down` `cube-prod`
5×	`add-exp-log` `log-pow` `add-log-exp`
4×	`add-cbrt-cube`
3×	`log-prod`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow1/3` `rem-log-exp` `rem-cbrt-cube` `rem-exp-log`

Counts

4 → 67

Calls

4 calls:

3.0ms	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
25.0ms	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
2.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series73.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (pow (log (fmod (cosh c) (log1p a))) 3))
4.0ms	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
40.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify2.2s

Counts: 79 → 79

prune274.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 35.1b

regimes693.0ms

Accuracy

1.3% (0.0b remaining)

Error of 34.4b against oracle of 34.3b and baseline of 34.4b

bsearch0.0ms

simplify2.2s

end0.0ms

sample17.0s

Algorithm

intervals

Results

12.2s	7740×	body	10240	exit
1.6s	2368×	body	1280	valid
882.0ms	1576×	body	640	valid
614.0ms	773×	body	320	valid
325.0ms	5217×	body	80	nan
269.0ms	2737×	body	80	valid
184.0ms	130×	body	2560	valid
59.0ms	410×	body	160	valid
12.0ms	6×	body	5120	valid