Details

sample714.0ms

Algorithm

intervals

Results

537.0ms	257×	body	10240	exit
63.0ms	68×	body	1280	valid
29.0ms	51×	body	640	valid
17.0ms	192×	body	80	nan
12.0ms	83×	body	80	valid
12.0ms	5×	body	2560	valid
12.0ms	34×	body	320	valid
3.0ms	14×	body	160	valid
1.0ms	1×	body	5120	valid

simplify17.0ms

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.7b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
40.5b	(fmod (cosh c) (log1p a))

rewrite3.0ms

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:

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

series54.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(log1p a)
9.0ms	(fmod (cosh c) (log1p a))

simplify1.4s

Counts

28 → 28

Iterations

Iter	Nodes
done	2016
5	2016
4	1851
3	712
2	259
1	106
0	50

prune180.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 34.7b

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))
40.5b	(fmod (cosh c) (* (* (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 (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(cbrt (log1p a))
62.0ms	(cbrt (log1p a))
95.0ms	(cbrt (log1p a))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify1.2s

Counts

64 → 64

Iterations

Iter	Nodes
done	2000
3	2000
2	573
1	216
0	91

prune444.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 33.9b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
0.6b	(cbrt (cbrt (log1p a)))
40.5b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

13×	`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 → 53

Calls

4 calls:

1.0ms	(cbrt (log1p a))
4.0ms	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
1.0ms	(cbrt (cbrt (log1p a)))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(cbrt (log1p a))
96.0ms	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
67.0ms	(cbrt (cbrt (log1p a)))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify1.7s

Counts

65 → 65

Iterations

Iter	Nodes
done	2000
2	2000
1	620
0	239

prune787.0ms

Pruning

40 alts after pruning (40 fresh and 0 done)

Merged error: 33.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
0.6b	(cbrt (cbrt (log1p a)))
2.6b	(exp (log (cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))))
40.5b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (exp (log (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))))) (cbrt (cbrt (log1p a))))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `exp-prod`
4×	`expm1-log1p-u` `log-prod` `add-cbrt-cube` `exp-sum` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-pow`
1×	`rem-exp-log`

Counts

4 → 59

Calls

4 calls:

4.0ms	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
1.0ms	(cbrt (cbrt (log1p a)))
6.0ms	(exp (log (cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (exp (log (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))))) (cbrt (cbrt (log1p a))))))

series267.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))
65.0ms	(cbrt (cbrt (log1p a)))
100.0ms	(exp (log (cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (exp (log (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))))) (cbrt (cbrt (log1p a))))))

simplify2.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	2004
3	2004
2	1666
1	515
0	217

prune556.0ms

Pruning

53 alts after pruning (53 fresh and 0 done)

Merged error: 32.7b

regimes2.2s

Accuracy

0% (2.4b remaining)

Error of 33.8b against oracle of 31.3b and baseline of 33.8b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	16
1	16
0	14

end0.0ms

sample22.1s

Algorithm

intervals

Results

15.9s	7730×	body	10240	exit
2.8s	2280×	body	1280	valid
929.0ms	1607×	body	640	valid
580.0ms	5066×	body	80	nan
524.0ms	2766×	body	80	valid
351.0ms	772×	body	320	valid
327.0ms	165×	body	2560	valid
98.0ms	401×	body	160	valid
59.0ms	9×	body	5120	valid