Details

sample786.0ms

Algorithm

intervals

Results

609.0ms	288×	body	10240	exit
73.0ms	79×	body	1280	valid
28.0ms	51×	body	640	valid
18.0ms	208×	body	80	nan
9.0ms	26×	body	320	valid
9.0ms	82×	body	80	valid
4.0ms	2×	body	2560	valid
4.0ms	15×	body	160	valid
3.0ms	1×	body	5120	valid

simplify18.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	14
2	14
1	11
0	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.3b

localize54.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
40.0b	(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))

series40.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(log1p a)
14.0ms	(fmod (cosh c) (log1p a))

simplify2.4s

Counts

28 → 28

Iterations

Iter	Nodes
5	3178
4	1238
3	444
2	195
1	99
0	50

prune187.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 34.3b

localize34.0ms

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))))

rewrite5.0ms

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 (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series295.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (log1p a))
95.0ms	(cbrt (log1p a))
94.0ms	(cbrt (log1p a))
12.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify6.1s

Counts

64 → 64

Iterations

Iter	Nodes
4	7640
3	1895
2	585
1	215
0	91

prune506.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 33.6b

localize38.0ms

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×	`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 (log1p a)) (cbrt (log1p a))) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

series198.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(cbrt (log1p a))
51.0ms	(cbrt (log1p a))
65.0ms	(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))))))

simplify6.7s

Counts

64 → 64

Iterations

Iter	Nodes
4	7581
3	1967
2	611
1	223
0	93

prune716.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 33.4b

localize102.0ms

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))))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`cbrt-prod`
6×	`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 → 50

Calls

4 calls:

1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
8.0ms	(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))))))

series281.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(cbrt (log1p a))
73.0ms	(cbrt (log1p a))
120.0ms	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
7.0ms	(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))))))

simplify6.4s

Counts

62 → 62

Iterations

Iter	Nodes
3	5955
2	1533
1	474
0	181

prune620.0ms

Pruning

43 alts after pruning (42 fresh and 1 done)

Merged error: 32.9b

regimes1.7s

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
2.4s	2246×	body	1280	valid
1.1s	1643×	body	640	valid
645.0ms	5395×	body	80	nan
348.0ms	2754×	body	80	valid
340.0ms	777×	body	320	valid
259.0ms	135×	body	2560	valid
110.0ms	438×	body	160	valid
19.0ms	7×	body	5120	valid