Details

sample566.0ms

Algorithm

intervals

Results

373.0ms	226×	body	10240	exit
104.0ms	67×	body	1280	valid
20.0ms	53×	body	640	valid
10.0ms	6×	body	2560	valid
9.0ms	169×	body	80	nan
8.0ms	95×	body	80	valid
4.0ms	22×	body	160	valid
3.0ms	13×	body	320	valid

simplify12.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize47.0ms

Local error

Found 1 expressions with local error:

37.2b

(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` `log1p-expm1-u` `add-log-exp`

Counts

1 → 9

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series12.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(fmod (cosh c) (log1p a))

simplify1.7s

Counts

12 → 12

Iterations

Iter	Nodes
done	5000
8	1065
7	336
6	159
5	74
4	40
3	32
2	26
1	21
0	14

prune94.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 33.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fmod (cosh c) (log1p a)))
0.1b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
37.2b	(fmod (cosh c) (log1p a))
37.2b	(fmod (cosh c) (log1p a))

rewrite26.0ms

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` `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 → 84

Calls

4 calls:

1.0ms	(sqrt (fmod (cosh c) (log1p a)))
21.0ms	(* (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))

series22.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (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))
3.0ms	(fmod (cosh c) (log1p a))

simplify9.1s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
3	3901
2	460
1	123
0	63

prune418.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 33.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (sqrt (fmod (cosh c) (log1p a))))
0.3b	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) (+ 4 1))
37.2b	(fmod (cosh c) (log1p a))
37.2b	(fmod (cosh c) (log1p a))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod` `*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`unpow-prod-down`
6×	`sqrt-prod`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow-unpow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-pow` `pow1/3`
1×	`pow-to-exp` `unpow-prod-up` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 62

Calls

4 calls:

2.0ms	(cbrt (sqrt (fmod (cosh c) (log1p a))))
14.0ms	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) (+ 4 1))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series215.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(cbrt (sqrt (fmod (cosh c) (log1p a))))
129.0ms	(pow (cbrt (sqrt (fmod (cosh c) (log1p a)))) (+ 4 1))
6.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

simplify890.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	1774
2	515
1	204
0	76

prune520.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 33.0b

localize37.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 5)
1.0b	(* (cbrt 5) (cbrt 5))
37.2b	(fmod (cosh c) (log1p a))
37.2b	(fmod (cosh c) (log1p a))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`cbrt-prod`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
7×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt 5)
17.0ms	(* (cbrt 5) (cbrt 5))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series10.0ms

Counts

4 → 8

Calls

4 calls:

0.0ms	(cbrt 5)
0.0ms	(* (cbrt 5) (cbrt 5))
5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

simplify2.6s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
3	3164
2	475
1	127
0	69

prune588.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 33.0b

regimes780.0ms

Accuracy

0% (0.1b remaining)

Error of 34.1b against oracle of 34.0b and baseline of 34.1b

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	28
3	28
2	26
1	24
0	19

end0.0ms

sample19.2s

Algorithm

intervals

Results

14.2s	7921×	body	10240	exit
1.7s	2261×	body	1280	valid
682.0ms	800×	body	320	valid
630.0ms	1602×	body	640	valid
350.0ms	5307×	body	80	nan
347.0ms	2795×	body	80	valid
248.0ms	128×	body	2560	valid
70.0ms	409×	body	160	valid
9.0ms	5×	body	5120	valid