Details

sample753.0ms

Algorithm

intervals

Results

574.0ms	251×	body	10240	exit
53.0ms	72×	body	1280	valid
27.0ms	58×	body	640	valid
16.0ms	172×	body	80	nan
10.0ms	5×	body	2560	valid
10.0ms	84×	body	80	valid
8.0ms	25×	body	320	valid
2.0ms	12×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	16
3	16
2	14
1	11
0	5

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.5b

localize13.0ms

Local error

Found 1 expressions with local error:

40.3b

(fmod (cosh c) (log1p a))

rewrite2.0ms

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:

1.0ms

(fmod (cosh c) (log1p a))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(fmod (cosh c) (log1p a))

simplify9.1s

Counts

13 → 13

Iterations

Iter	Nodes
10	7894
9	1528
8	504
7	205
6	100
5	61
4	41
3	33
2	27
1	22
0	15

prune178.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.5b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

19.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series13.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))

simplify1.6s

Counts

81 → 81

Iterations

Iter	Nodes
5	2611
4	702
3	394
2	233
1	119
0	62

prune895.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 35.5b

localize23.0ms

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 40

Calls

4 calls:

0.0ms	(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))

series17.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(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))

simplify6.7s

Counts

52 → 52

Iterations

Iter	Nodes
10	7894
9	1528
8	504
7	205
6	100
5	61
4	41
3	33
2	27
1	22
0	15

prune683.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 35.5b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`sqrt-prod`
15×	`pow1`
11×	`sqrt-pow1`
9×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
7×	`pow1/2`
6×	`add-cbrt-cube` `associate-l` `add-exp-log` `pow-prod-up` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`pow3`
1×	`sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 76

Calls

4 calls:

11.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (sqrt (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))

series89.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (sqrt (fmod (cosh c) (log1p a)))))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify959.0ms

Counts

88 → 88

Iterations

Iter	Nodes
5	2033
4	919
3	569
2	329
1	144
0	73

prune996.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 35.5b

regimes566.0ms

Accuracy

0% (0.0b remaining)

Error of 34.2b against oracle of 34.1b and baseline of 34.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	13
1	13
0	11

end0.0ms

sample16.5s

Algorithm

intervals

Results

12.4s	7946×	body	10240	exit
1.6s	2304×	body	1280	valid
717.0ms	1594×	body	640	valid
511.0ms	5421×	body	80	nan
307.0ms	2773×	body	80	valid
264.0ms	791×	body	320	valid
190.0ms	144×	body	2560	valid
93.0ms	384×	body	160	valid
24.0ms	10×	body	5120	valid