Details

sample447.0ms

Algorithm

intervals

Results

279.0ms	231×	body	10240	exit
54.0ms	432×	body	80	nan
30.0ms	230×	body	80	valid
9.0ms	29×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
7	2001
6	894
5	301
4	108
3	53
2	30
1	24
0	10

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ 1 (exp x)))
0.0b	(+ 1 (exp x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `fma-def`
2×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `hypot-def` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2` `hypot-1-def`

Counts

2 → 40

Calls

2 calls:

14.0ms	(sqrt (+ 1 (exp x)))
12.0ms	(+ 1 (exp x))

series60.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(sqrt (+ 1 (exp x)))
16.0ms	(+ 1 (exp x))

simplify1.1s

Counts

46 → 46

Iterations

Iter	Nodes
done	2027
4	2027
3	1297
2	461
1	156
0	67

prune200.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (exp (log1p (exp x))))
0.0b	(exp (log1p (exp x)))
0.0b	(log1p (exp x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`exp-prod` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `sqrt-pow1` `add-log-exp`
3×	`add-cbrt-cube` `add-exp-log` `sqrt-prod` `insert-posit16` `log1p-expm1-u`
2×	`log1p-udef` `rem-exp-log`
1×	`rem-sqrt-square` `pow1/2` `log1p-expm1`

Counts

3 → 46

Calls

3 calls:

4.0ms	(sqrt (exp (log1p (exp x))))
3.0ms	(exp (log1p (exp x)))
1.0ms	(log1p (exp x))

series348.0ms

Counts

3 → 9

Calls

3 calls:

178.0ms	(sqrt (exp (log1p (exp x))))
109.0ms	(exp (log1p (exp x)))
61.0ms	(log1p (exp x))

simplify1.2s

Counts

55 → 55

Iterations

Iter	Nodes
done	2039
4	2039
3	834
2	297
1	132
0	73

prune301.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1 (exp x)))
0.0b	(+ 1 (exp x))
0.0b	(+ 1 (exp x))
0.1b	(* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (+ 1 (exp x)))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

86×	`sqrt-prod`
54×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
33×	`sqrt-pow1`
28×	`pow1`
26×	`sqrt-div`
19×	`add-cube-cbrt`
18×	`swap-sqr`
17×	`pow1/2`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow-prod-up` `flip-+` `distribute-lft-out` `unswap-sqr`
8×	`add-log-exp`
6×	`fma-def` `add-cbrt-cube` `add-exp-log`
5×	`pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `sum-log` `associate-l/` `associate-r/` `hypot-def`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `hypot-1-def` `*-commutative` `cbrt-unprod`

Counts

4 → 149

Calls

4 calls:

14.0ms	(sqrt (+ 1 (exp x)))
10.0ms	(+ 1 (exp x))
9.0ms	(+ 1 (exp x))
74.0ms	(* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (+ 1 (exp x)))))

series109.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt (+ 1 (exp x)))
9.0ms	(+ 1 (exp x))
12.0ms	(+ 1 (exp x))
54.0ms	(* (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (+ 1 (exp x)))))

simplify1.4s

Counts

161 → 161

Iterations

Iter	Nodes
done	2018
4	2018
3	1619
2	667
1	296
0	141

prune656.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample9.9s

Algorithm

intervals

Results

6.7s	6515×	body	10240	exit
1.5s	12387×	body	80	nan
973.0ms	7409×	body	80	valid
233.0ms	707×	body	160	valid