Details

sample117.0ms

Algorithm

intervals

Results

66.0ms	94×	body	10240	exit
20.0ms	274×	body	80	valid
5.0ms	9×	body	640	valid
2.0ms	1×	body	1280	valid
1.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
3	23	9
done	23	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize45.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(+ 1.0 (exp x))
0.3b	(log (+ 1.0 (exp x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

10.0ms	(- (log (+ 1.0 (exp x))) (* x y))
5.0ms	(+ 1.0 (exp x))
9.0ms	(log (+ 1.0 (exp x)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(- (log (+ 1.0 (exp x))) (* x y))
13.0ms	(+ 1.0 (exp x))
89.0ms	(log (+ 1.0 (exp x)))

simplify2.2s

Counts

71 → 71

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	105	724
1	243	684
2	827	633
3	4578	618
done	5000	617

prune375.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

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))))

rewrite34.0ms

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:

11.0ms	(+ 1.0 (exp x))
8.0ms	(+ 1.0 (exp x))
6.0ms	(log (sqrt (+ 1.0 (exp x))))
6.0ms	(log (sqrt (+ 1.0 (exp x))))

series388.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ 1.0 (exp x))
14.0ms	(+ 1.0 (exp x))
164.0ms	(log (sqrt (+ 1.0 (exp x))))
195.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify1.0s

Counts

90 → 90

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	84	812
1	167	760
2	505	692
3	2373	690
done	5002	686

prune587.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

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))))

rewrite20.0ms

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:

5.0ms	(log (log (sqrt (+ 1.0 (exp x)))))
3.0ms	(exp (log (log (sqrt (+ 1.0 (exp x))))))
5.0ms	(log (sqrt (+ 1.0 (exp x))))
5.0ms	(log (sqrt (+ 1.0 (exp x))))

series695.0ms

Counts

4 → 12

Calls

4 calls:

298.0ms	(log (log (sqrt (+ 1.0 (exp x)))))
143.0ms	(exp (log (log (sqrt (+ 1.0 (exp x))))))
123.0ms	(log (sqrt (+ 1.0 (exp x))))
131.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify2.1s

Counts

93 → 93

Iterations

Useful iterations: 3 (877.0ms)

Iter	Nodes	Cost
0	127	1098
1	239	997
2	730	881
3	4723	870
done	5000	870

prune625.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize66.0ms

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))))

rewrite42.0ms

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))))
7.0ms	(log (sqrt (+ 1.0 (exp x))))
17.0ms	(log (sqrt (+ 1.0 (exp x))))
11.0ms	(log (sqrt (+ 1.0 (exp x))))

series612.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(log (sqrt (+ 1.0 (exp x))))
163.0ms	(log (sqrt (+ 1.0 (exp x))))
132.0ms	(log (sqrt (+ 1.0 (exp x))))
156.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify757.0ms

Counts

100 → 100

Iterations

Useful iterations: done (753.0ms)

Iter	Nodes	Cost
0	73	1136
1	134	1060
2	352	956
3	1554	952
done	5002	948

prune712.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

regimes153.0ms

Accuracy

0% (0.8b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 1.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	15	19
done	15	19

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.1s	2333×	body	10240	exit
586.0ms	8373×	body	80	valid
133.0ms	142×	body	1280	valid
119.0ms	285×	body	640	valid
85.0ms	207×	body	320	valid
44.0ms	110×	body	160	valid