Details

sample325.0ms

Algorithm

intervals

Results

141.0ms	215×	body	10240	exit
28.0ms	413×	body	80	nan
17.0ms	246×	body	80	valid
2.0ms	16×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3702
6	894
5	301
4	108
3	53
2	30
1	24
0	10

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1 (exp x))
0.2b	(sqrt (+ 1 (exp x)))

rewrite20.0ms

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:

5.0ms	(+ 1 (exp x))
12.0ms	(sqrt (+ 1 (exp x)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ 1 (exp x))
65.0ms	(sqrt (+ 1 (exp x)))

simplify2.9s

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
4	4436
3	1371
2	542
1	156
0	67

prune224.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(exp (log (sqrt (+ 1 (exp x)))))
0.2b	(sqrt (+ 1 (exp x)))
0.3b	(log (sqrt (+ 1 (exp x))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

5.0ms	(+ 1 (exp x))
6.0ms	(exp (log (sqrt (+ 1 (exp x)))))
7.0ms	(sqrt (+ 1 (exp x)))
7.0ms	(log (sqrt (+ 1 (exp x))))

series228.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ 1 (exp x))
35.0ms	(exp (log (sqrt (+ 1 (exp x)))))
38.0ms	(sqrt (+ 1 (exp x)))
141.0ms	(log (sqrt (+ 1 (exp x))))

simplify1.7s

Counts

101 → 101

Iterations

Iter	Nodes
done	5003
3	2042
2	615
1	250
0	127

prune451.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot 1 (sqrt (exp x)))
0.0b	(exp (log (hypot 1 (sqrt (exp x)))))
0.3b	(log (hypot 1 (sqrt (exp x))))
0.5b	(sqrt (exp x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

0.0ms	(hypot 1 (sqrt (exp x)))
5.0ms	(exp (log (hypot 1 (sqrt (exp x)))))
2.0ms	(log (hypot 1 (sqrt (exp x))))
5.0ms	(sqrt (exp x))

series459.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(hypot 1 (sqrt (exp x)))
111.0ms	(exp (log (hypot 1 (sqrt (exp x)))))
216.0ms	(log (hypot 1 (sqrt (exp x))))
21.0ms	(sqrt (exp x))

simplify3.3s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
4	4652
3	1247
2	431
1	184
0	106

prune393.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot 1 (pow (exp 1) (/ x 2)))
0.0b	(exp (log (hypot 1 (pow (exp 1) (/ x 2)))))
0.1b	(pow (exp 1) (/ x 2))
0.3b	(log (hypot 1 (pow (exp 1) (/ x 2))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`pow-unpow`
9×	`times-frac`
7×	`pow1` `exp-prod`
6×	`log-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `pow-pow` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `exp-sum`
2×	`log-pow`
1×	`pow-to-exp` `hypot-udef` `rem-log-exp` `pow-exp` `div-inv` `sqr-pow` `rem-exp-log`

Counts

4 → 77

Calls

4 calls:

0.0ms	(hypot 1 (pow (exp 1) (/ x 2)))
3.0ms	(exp (log (hypot 1 (pow (exp 1) (/ x 2)))))
4.0ms	(pow (exp 1) (/ x 2))
1.0ms	(log (hypot 1 (pow (exp 1) (/ x 2))))

series455.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(hypot 1 (pow (exp 1) (/ x 2)))
99.0ms	(exp (log (hypot 1 (pow (exp 1) (/ x 2)))))
22.0ms	(pow (exp 1) (/ x 2))
210.0ms	(log (hypot 1 (pow (exp 1) (/ x 2))))

simplify2.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5016
3	2498
2	797
1	328
0	143

prune800.0ms

Pruning

3 alts after pruning (1 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

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample7.0s

Algorithm

intervals

Results

4.3s	6699×	body	10240	exit
1.4s	12626×	body	80	nan
695.0ms	7421×	body	80	valid
146.0ms	709×	body	160	valid