Details

sample67.0ms

Algorithm

intervals

Results

29.0ms	78×	body	1280	valid
12.0ms	45×	body	640	valid
9.0ms	170×	body	80	valid
4.0ms	24×	body	320	valid
1.0ms	6×	body	160	valid

simplify5.7s

Counts

1 → 1

Iterations

Iter	Nodes
8	7775
7	1360
6	393
5	145
4	60
3	31
2	19
1	15
0	6

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b	(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))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(expm1 (* a x))

simplify1.2s

Counts

15 → 15

Iterations

Iter	Nodes
4	2628
3	791
2	220
1	74
0	31

prune123.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
9.1b	(cbrt (expm1 (* a x)))
9.1b	(cbrt (expm1 (* a x)))
9.1b	(cbrt (expm1 (* a x)))

rewrite19.0ms

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:

13.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
2.0ms	(cbrt (expm1 (* a x)))
2.0ms	(cbrt (expm1 (* a x)))
2.0ms	(cbrt (expm1 (* a x)))

series526.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
130.0ms	(cbrt (expm1 (* a x)))
130.0ms	(cbrt (expm1 (* a x)))
134.0ms	(cbrt (expm1 (* a x)))

simplify3.8s

Counts

97 → 97

Iterations

Iter	Nodes
4	6386
3	1877
2	568
1	211
0	89

prune812.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

9.1b	(cbrt (expm1 (* a x)))
9.1b	(cbrt (expm1 (* a x)))
9.1b	(cbrt (expm1 (* a x)))
9.1b	(cbrt (expm1 (* a x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

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

series389.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (expm1 (* a x)))
90.0ms	(cbrt (expm1 (* a x)))
104.0ms	(cbrt (expm1 (* a x)))
105.0ms	(cbrt (expm1 (* a x)))

simplify776.0ms

Counts

68 → 68

Iterations

Iter	Nodes
4	2181
3	642
2	212
1	92
0	42

prune816.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

9.1b	(cbrt (expm1 (* a x)))
9.1b	(cbrt (expm1 (* a x)))
9.1b	(cbrt (expm1 (* a x)))
9.1b	(cbrt (expm1 (* a x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

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

series470.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (expm1 (* a x)))
100.0ms	(cbrt (expm1 (* a x)))
127.0ms	(cbrt (expm1 (* a x)))
125.0ms	(cbrt (expm1 (* a x)))

simplify711.0ms

Counts

68 → 68

Iterations

Iter	Nodes
4	2181
3	642
2	212
1	92
0	42

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes145.0ms

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
2	5
1	5
0	4

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.1s	2758×	body	1280	valid
367.0ms	1246×	body	640	valid
319.0ms	5535×	body	80	valid
149.0ms	689×	body	320	valid
46.0ms	401×	body	160	valid