Details

sample52.0ms

Algorithm

intervals

Results

26.0ms	99×	body	1280	valid
7.0ms	166×	body	80	valid
7.0ms	36×	body	640	valid
3.0ms	21×	body	320	valid
1.0ms	13×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	1919
6	483
5	171
4	69
3	34
2	21
1	15
0	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(expm1 (* a x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

1.0ms

(expm1 (* a x))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(expm1 (* a x))

simplify3.5s

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
4	4127
3	992
2	238
1	74
0	31

prune68.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
11.6b	(cbrt (expm1 (* a x)))
11.6b	(cbrt (expm1 (* a x)))
11.6b	(cbrt (expm1 (* a x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `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 → 85

Calls

4 calls:

15.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))

series586.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
138.0ms	(cbrt (expm1 (* a x)))
123.0ms	(cbrt (expm1 (* a x)))
162.0ms	(cbrt (expm1 (* a x)))

simplify1.8s

Counts

97 → 97

Iterations

Iter	Nodes
done	5004
3	2418
2	601
1	219
0	89

prune461.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

4.1b	(fma (* (* a x) (* a x)) 1/12 (* (* a x) 1/3))
11.6b	(cbrt (expm1 (* a x)))
32.6b	(cbrt (* (* a x) (* a x)))
32.6b	(cbrt (* (* a x) (* a x)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

5×	`cbrt-prod` `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`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

0.0ms	(fma (* (* a x) (* a x)) 1/12 (* (* a x) 1/3))
1.0ms	(cbrt (expm1 (* a x)))
20.0ms	(cbrt (* (* a x) (* a x)))
26.0ms	(cbrt (* (* a x) (* a x)))

series511.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(fma (* (* a x) (* a x)) 1/12 (* (* a x) 1/3))
142.0ms	(cbrt (expm1 (* a x)))
143.0ms	(cbrt (* (* a x) (* a x)))
132.0ms	(cbrt (* (* a x) (* a x)))

simplify2.0s

Counts

61 → 61

Iterations

Iter	Nodes
done	5015
3	2007
2	562
1	215
0	98

prune404.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow (expm1 (* a x)) 1/3) (cbrt (expm1 (* a x))))
11.6b	(cbrt (expm1 (* a x)))
11.6b	(cbrt (expm1 (* a x)))
12.1b	(pow (expm1 (* a x)) 1/3)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
12×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
10×	`add-exp-log`
8×	`unpow-prod-down`
7×	`associate-l`
6×	`associate-r` `unswap-sqr`
5×	`pow1` `add-cbrt-cube` `pow1/3`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`pow-to-exp` `unpow1/3` `pow-exp` `cbrt-unprod`
1×	`pow-pow` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 87

Calls

4 calls:

10.0ms	(* (pow (expm1 (* a x)) 1/3) (cbrt (expm1 (* a x))))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
2.0ms	(pow (expm1 (* a x)) 1/3)

series532.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (pow (expm1 (* a x)) 1/3) (cbrt (expm1 (* a x))))
120.0ms	(cbrt (expm1 (* a x)))
137.0ms	(cbrt (expm1 (* a x)))
117.0ms	(pow (expm1 (* a x)) 1/3)

simplify1.9s

Counts

99 → 99

Iterations

Iter	Nodes
done	5009
3	2947
2	901
1	310
0	118

prune394.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
1	5
0	4

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.3s	2702×	body	1280	valid
400.0ms	5541×	body	80	valid
374.0ms	1244×	body	640	valid
157.0ms	788×	body	320	valid
43.0ms	387×	body	160	valid