Details

sample820.0ms

Algorithm

intervals

Results

629.0ms	288×	body	10240	exit
83.0ms	79×	body	1280	valid
31.0ms	51×	body	640	valid
19.0ms	208×	body	80	nan
10.0ms	82×	body	80	valid
9.0ms	26×	body	320	valid
5.0ms	15×	body	160	valid
5.0ms	2×	body	2560	valid
3.0ms	1×	body	5120	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	14
2	14
1	11
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.3b

localize51.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

2 → 16

Calls

2 calls:

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(log1p a)
14.0ms	(fmod (cosh c) (log1p a))

simplify1.3s

Counts

22 → 22

Iterations

Iter	Nodes
9	2962
8	935
7	372
6	172
5	95
4	56
3	41
2	35
1	29
0	21

prune189.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 34.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
40.0b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

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

series406.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (log1p a))
144.0ms	(cbrt (log1p a))
136.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify8.4s

Counts

56 → 56

Iterations

Iter	Nodes
6	8135
5	1345
4	359
3	143
2	78
1	45
0	30

prune343.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 33.6b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
40.0b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

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

series432.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (log1p a))
153.0ms	(cbrt (log1p a))
142.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify2.0s

Counts

56 → 56

Iterations

Iter	Nodes
5	3689
4	756
3	253
2	106
1	53
0	32

prune404.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 33.4b

localize98.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
40.0b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
6.0ms	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
1.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

series458.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (log1p a))
149.0ms	(cbrt (log1p a))
169.0ms	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
4.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (* (cbrt (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify4.1s

Counts

54 → 54

Iterations

Iter	Nodes
5	5658
4	1198
3	398
2	156
1	79
0	47

prune354.0ms

Pruning

42 alts after pruning (41 fresh and 1 done)

Merged error: 32.9b

regimes1.6s

Accuracy

0% (1.9b remaining)

Error of 33.9b against oracle of 32.0b and baseline of 33.9b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	20
1	20
0	16

end0.0ms

sample22.5s

Algorithm

intervals

Results

16.6s	7857×	body	10240	exit
2.6s	2246×	body	1280	valid
1.0s	1643×	body	640	valid
624.0ms	5395×	body	80	nan
371.0ms	777×	body	320	valid
317.0ms	2754×	body	80	valid
280.0ms	135×	body	2560	valid
110.0ms	438×	body	160	valid
14.0ms	7×	body	5120	valid