Details

sample92.0ms

Algorithm

intervals

Results

43.0ms	89×	body	1280	valid
16.0ms	49×	body	640	valid
12.0ms	172×	body	80	valid
6.0ms	26×	body	320	valid
1.0ms	7×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	2007
8	2007
7	1531
6	399
5	145
4	60
3	31
2	19
1	15
0	6

prune15.0ms

Pruning

2 alts after pruning (2 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))

series47.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(expm1 (* a x))

simplify1.3s

Counts

15 → 15

Iterations

Iter	Nodes
done	2004
4	2004
3	881
2	231
1	74
0	31

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
10.5b	(cbrt (expm1 (* a x)))
10.5b	(cbrt (expm1 (* a x)))
10.5b	(cbrt (expm1 (* a x)))

rewrite26.0ms

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:

21.0ms	(* (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)))

series582.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
140.0ms	(cbrt (expm1 (* a x)))
137.0ms	(cbrt (expm1 (* a x)))
125.0ms	(cbrt (expm1 (* a x)))

simplify1.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	2002
3	2002
2	578
1	219
0	89

prune406.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
1.8b	(- (exp (* a x)) 1)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`prod-diff` `add-cube-cbrt`
6×	`add-log-exp`
3×	`fma-neg`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
1×	`expm1-def` `exp-prod` `sub-neg` `flip3--` `exp-to-pow` `diff-log` `difference-of-sqr-1` `flip--` `distribute-lft-out--` `rem-exp-log`

Counts

2 → 45

Calls

2 calls:

6.0ms	(exp (* a x))
16.0ms	(- (exp (* a x)) 1)

series77.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(exp (* a x))
54.0ms	(- (exp (* a x)) 1)

simplify1.5s

Counts

51 → 51

Iterations

Iter	Nodes
done	2010
4	2010
3	1394
2	434
1	179
0	81

prune219.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (exp (* a x)))
0.0b	(expm1 (log1p (exp (* a x))))
0.0b	(exp (* a x))
41.4b	(- (expm1 (log1p (exp (* a x)))) 1)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`prod-diff`
8×	`add-log-exp`
5×	`expm1-log1p-u` `add-exp-log`
4×	`pow1` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg`
2×	`expm1-udef` `difference-of-squares`
1×	`associate--l-` `expm1-def` `log1p-udef` `expm1-log1p` `exp-prod` `sub-neg` `flip3--` `exp-to-pow` `diff-log` `difference-of-sqr-1` `log1p-expm1` `flip--` `distribute-lft-out--` `rem-exp-log`

Counts

4 → 70

Calls

4 calls:

0.0ms	(log1p (exp (* a x)))
0.0ms	(expm1 (log1p (exp (* a x))))
4.0ms	(exp (* a x))
5.0ms	(- (expm1 (log1p (exp (* a x)))) 1)

series238.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(log1p (exp (* a x)))
62.0ms	(expm1 (log1p (exp (* a x))))
21.0ms	(exp (* a x))
105.0ms	(- (expm1 (log1p (exp (* a x)))) 1)

simplify1.3s

Counts

82 → 82

Iterations

Iter	Nodes
done	2099
4	2099
3	1696
2	543
1	236
0	111

prune324.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes185.0ms

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

sample2.9s

Algorithm

intervals

Results

1.2s	2631×	body	1280	valid
965.0ms	1349×	body	640	valid
321.0ms	5396×	body	80	valid
150.0ms	781×	body	320	valid
52.0ms	411×	body	160	valid