Details

sample758.0ms

Algorithm

intervals

Results

567.0ms	236×	body	10240	exit
77.0ms	77×	body	1280	valid
29.0ms	47×	body	640	valid
17.0ms	7×	body	2560	valid
16.0ms	173×	body	80	nan
10.0ms	30×	body	320	valid
10.0ms	76×	body	80	valid
5.0ms	18×	body	160	valid
3.0ms	1×	body	5120	valid

simplify52.0ms

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.6b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
41.5b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`expm1-log1p-u`
2×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`log1p-udef` `log1p-expm1`

Counts

2 → 22

Calls

2 calls:

2.0ms	(log1p a)
2.0ms	(fmod (cosh c) (log1p a))

series60.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(log1p a)
15.0ms	(fmod (cosh c) (log1p a))

simplify1.5s

Counts

28 → 28

Iterations

Iter	Nodes
5	3027
4	1167
3	446
2	197
1	100
0	50

prune846.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 35.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (log1p a))
0.7b	(cbrt (log1p a))
0.7b	(cbrt (log1p a))
41.6b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
1.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series208.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(cbrt (log1p a))
60.0ms	(cbrt (log1p a))
75.0ms	(cbrt (log1p a))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify5.7s

Counts

64 → 64

Iterations

Iter	Nodes
4	7676
3	1919
2	586
1	216
0	91

prune845.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 34.9b

localize42.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (log1p a))
0.7b	(cbrt (log1p a))
0.7b	(cbrt (log1p a))
41.5b	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (log1p a))
2.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
1.0ms	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(cbrt (log1p a))
65.0ms	(cbrt (log1p a))
57.0ms	(cbrt (log1p a))
9.0ms	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify4.5s

Counts

64 → 64

Iterations

Iter	Nodes
4	7740
3	1918
2	607
1	225
0	94

prune1.1s

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 34.5b

localize56.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (log1p a))
0.7b	(cbrt (log1p a))
0.7b	(cbrt (log1p a))
41.5b	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))))) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`

Counts

4 → 52

Calls

4 calls:

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

series203.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(cbrt (log1p a))
74.0ms	(cbrt (log1p a))
64.0ms	(cbrt (log1p a))
4.0ms	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify3.7s

Counts

64 → 64

Iterations

Iter	Nodes
4	7989
3	1990
2	615
1	228
0	96

prune765.0ms

Pruning

44 alts after pruning (43 fresh and 1 done)

Merged error: 34.4b

regimes1.4s

Accuracy

0% (1.8b remaining)

Error of 34.2b against oracle of 32.4b and baseline of 34.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	19
1	19
0	15

end0.0ms

sample15.4s

Algorithm

intervals

Results

11.2s	7866×	body	10240	exit
1.6s	2323×	body	1280	valid
962.0ms	1583×	body	640	valid
385.0ms	5224×	body	80	nan
280.0ms	2717×	body	80	valid
233.0ms	161×	body	2560	valid
192.0ms	802×	body	320	valid
135.0ms	406×	body	160	valid
13.0ms	8×	body	5120	valid