Details

sample76.0ms

Algorithm

intervals

Results

43.0ms	94×	body	10240	exit
13.0ms	274×	body	80	valid
3.0ms	9×	body	640	valid
1.0ms	1×	body	1280	valid
1.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	23
3	23
2	19
1	12
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.3b	(log (+ 1.0 (exp x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

27.0ms	(+ 1.0 (exp x))
5.0ms	(log (+ 1.0 (exp x)))

series78.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ 1.0 (exp x))
69.0ms	(log (+ 1.0 (exp x)))

simplify1.6s

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
3	1542
2	400
1	142
0	65

prune230.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ 1.0 (exp x))
1.0b	(log (sqrt (+ 1.0 (exp x))))
1.0b	(log (sqrt (+ 1.0 (exp x))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
14×	`log-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1` `sqrt-prod` `add-log-exp`
6×	`fma-def` `add-exp-log` `log-pow`
4×	`expm1-log1p-u` `log-div` `flip3-+` `add-cbrt-cube` `sqrt-div` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`+-commutative` `sum-log` `sqrt-pow1` `pow1/2` `rem-log-exp`

Counts

4 → 78

Calls

4 calls:

10.0ms	(+ 1.0 (exp x))
10.0ms	(+ 1.0 (exp x))
11.0ms	(log (sqrt (+ 1.0 (exp x))))
11.0ms	(log (sqrt (+ 1.0 (exp x))))

series335.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ 1.0 (exp x))
15.0ms	(+ 1.0 (exp x))
138.0ms	(log (sqrt (+ 1.0 (exp x))))
168.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify968.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	5002
3	2373
2	505
1	167
0	84

prune464.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (log (sqrt (+ 1.0 (exp x)))))
0.7b	(exp (log (log (sqrt (+ 1.0 (exp x))))))
1.0b	(log (sqrt (+ 1.0 (exp x))))
1.0b	(log (sqrt (+ 1.0 (exp x))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

26×	`log-prod`
15×	`*-un-lft-identity`
14×	`pow1` `log-pow`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`sqrt-prod`
7×	`add-exp-log`
6×	`exp-sum`
4×	`expm1-log1p-u` `log-div` `exp-prod` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`rem-exp-log`

Counts

4 → 81

Calls

4 calls:

10.0ms	(log (log (sqrt (+ 1.0 (exp x)))))
6.0ms	(exp (log (log (sqrt (+ 1.0 (exp x))))))
11.0ms	(log (sqrt (+ 1.0 (exp x))))
11.0ms	(log (sqrt (+ 1.0 (exp x))))

series737.0ms

Counts

4 → 12

Calls

4 calls:

292.0ms	(log (log (sqrt (+ 1.0 (exp x)))))
143.0ms	(exp (log (log (sqrt (+ 1.0 (exp x))))))
149.0ms	(log (sqrt (+ 1.0 (exp x))))
152.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify2.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	4723
2	730
1	239
0	127

prune561.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 4 expressions with local error:

1.0b	(log (sqrt (+ 1.0 (exp x))))
1.0b	(log (sqrt (+ 1.0 (exp x))))
1.0b	(log (sqrt (+ 1.0 (exp x))))
1.0b	(log (sqrt (+ 1.0 (exp x))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
20×	`*-un-lft-identity`
16×	`sqrt-prod`
12×	`add-sqr-sqrt` `pow1` `log-pow` `add-cube-cbrt`
8×	`log-div` `sqrt-div` `add-exp-log`
4×	`expm1-log1p-u` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `rem-log-exp` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

4 → 88

Calls

4 calls:

5.0ms	(log (sqrt (+ 1.0 (exp x))))
6.0ms	(log (sqrt (+ 1.0 (exp x))))
6.0ms	(log (sqrt (+ 1.0 (exp x))))
6.0ms	(log (sqrt (+ 1.0 (exp x))))

series569.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(log (sqrt (+ 1.0 (exp x))))
154.0ms	(log (sqrt (+ 1.0 (exp x))))
140.0ms	(log (sqrt (+ 1.0 (exp x))))
134.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify753.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
3	1554
2	352
1	134
0	73

prune700.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes131.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.7s	2333×	body	10240	exit
1.1s	8373×	body	80	valid
153.0ms	285×	body	640	valid
106.0ms	142×	body	1280	valid
50.0ms	207×	body	320	valid
18.0ms	110×	body	160	valid