Details

sample335.0ms

Algorithm

intervals

Results

190.0ms	247×	body	10240	exit
38.0ms	475×	body	80	nan
18.0ms	238×	body	80	valid
4.0ms	23×	body	160	valid

simplify985.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

13.0ms	(sqrt (+ 1 (exp x)))
7.0ms	(+ 1 (exp x))

series53.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(sqrt (+ 1 (exp x)))
20.0ms	(+ 1 (exp x))

simplify821.0ms

Counts

46 → 46

Iterations

Iter	Nodes
done	2020
3	1297
2	461
1	156
0	67

prune137.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

0.0ms	(hypot 1 (sqrt (exp x)))
3.0ms	(sqrt (exp x))

series92.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(hypot 1 (sqrt (exp x)))
14.0ms	(sqrt (exp x))

simplify532.0ms

Counts

36 → 36

Iterations

Iter	Nodes
done	2000
3	666
2	232
1	104
0	61

prune132.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp x) 1))
0.0b	(expm1 (log1p (sqrt (+ (exp x) 1))))
0.0b	(+ (exp x) 1)
0.0b	(log1p (sqrt (+ (exp x) 1)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

9.0ms	(sqrt (+ (exp x) 1))
0.0ms	(expm1 (log1p (sqrt (+ (exp x) 1))))
16.0ms	(+ (exp x) 1)
1.0ms	(log1p (sqrt (+ (exp x) 1)))

series561.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt (+ (exp x) 1))
370.0ms	(expm1 (log1p (sqrt (+ (exp x) 1))))
12.0ms	(+ (exp x) 1)
143.0ms	(log1p (sqrt (+ (exp x) 1)))

simplify734.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	2011
2	1002
1	312
0	127

prune333.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	5

end0.0ms

sample10.2s

Algorithm

intervals

Results

6.6s	6847×	body	10240	exit
2.1s	13072×	body	80	nan
889.0ms	7411×	body	80	valid
161.0ms	715×	body	160	valid