Details

sample412.0ms

Algorithm

intervals

Results

205.0ms	219×	body	10240	exit
67.0ms	420×	body	80	nan
20.0ms	237×	body	80	valid
4.0ms	24×	body	160	valid

simplify885.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	767
5	185
4	76
3	41
2	28
1	19
0	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.3b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
5.6b	(- (exp (* 2.0 x)) 1.0)
5.7b	(- (exp x) 1.0)

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
51×	`times-frac`
41×	`add-cube-cbrt`
31×	`sqrt-prod`
24×	`distribute-lft-out--` `difference-of-squares`
18×	`prod-diff`
8×	`add-log-exp`
6×	`add-cbrt-cube` `fma-neg` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `flip--` `associate-/l`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
2×	`rem-sqrt-square` `sub-neg` `diff-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp`

Counts

4 → 155

Calls

4 calls:

37.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
55.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
21.0ms	(- (exp (* 2.0 x)) 1.0)
14.0ms	(- (exp x) 1.0)

series312.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
88.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
54.0ms	(- (exp (* 2.0 x)) 1.0)
39.0ms	(- (exp x) 1.0)

simplify841.0ms

Counts

167 → 167

Iterations

Iter	Nodes
done	5000
2	1528
1	502
0	232

prune877.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (pow (exp x) 2.0))
0.3b	(sqrt (pow (exp x) 2.0))
5.7b	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
5.7b	(- (exp x) 1.0)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

105×	`sqrt-prod`
76×	`add-sqr-sqrt`
69×	`prod-diff`
62×	`*-un-lft-identity`
56×	`add-cube-cbrt`
31×	`unpow-prod-down`
13×	`fma-neg` `sqr-pow`
9×	`difference-of-squares`
8×	`add-log-exp`
6×	`rem-sqrt-square`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`distribute-lft-out--`
2×	`sub-neg` `sqrt-pow1` `flip3--` `pow1/2` `diff-log` `flip--`

Counts

4 → 164

Calls

4 calls:

4.0ms	(sqrt (pow (exp x) 2.0))
4.0ms	(sqrt (pow (exp x) 2.0))
52.0ms	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
9.0ms	(- (exp x) 1.0)

series580.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(sqrt (pow (exp x) 2.0))
249.0ms	(sqrt (pow (exp x) 2.0))
53.0ms	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
23.0ms	(- (exp x) 1.0)

simplify1.1s

Counts

176 → 176

Iterations

Iter	Nodes
done	5000
2	1330
1	437
0	198

prune854.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (pow (exp x) 2.0))
0.3b	(sqrt (exp x))
5.7b	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
5.7b	(- (exp x) 1.0)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

101×	`sqrt-prod`
75×	`add-sqr-sqrt`
69×	`prod-diff`
62×	`*-un-lft-identity`
56×	`add-cube-cbrt`
27×	`unpow-prod-down`
13×	`fma-neg`
11×	`sqr-pow`
9×	`difference-of-squares`
8×	`add-log-exp`
5×	`pow1` `sqrt-pow1`
4×	`expm1-log1p-u` `rem-sqrt-square` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`exp-prod` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `pow1/2` `diff-log` `flip--`

Counts

4 → 161

Calls

4 calls:

8.0ms	(sqrt (pow (exp x) 2.0))
5.0ms	(sqrt (exp x))
56.0ms	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
20.0ms	(- (exp x) 1.0)

series335.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(sqrt (pow (exp x) 2.0))
15.0ms	(sqrt (exp x))
36.0ms	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
21.0ms	(- (exp x) 1.0)

simplify1.1s

Counts

173 → 173

Iterations

Iter	Nodes
done	5000
2	1449
1	473
0	220

prune905.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize69.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (pow (exp x) 2.0))
0.3b	(sqrt (exp x))
5.7b	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
5.7b	(- (exp x) 1.0)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

101×	`sqrt-prod`
75×	`add-sqr-sqrt`
69×	`prod-diff`
62×	`*-un-lft-identity`
56×	`add-cube-cbrt`
27×	`unpow-prod-down`
13×	`fma-neg`
11×	`sqr-pow`
9×	`difference-of-squares`
8×	`add-log-exp`
5×	`pow1` `sqrt-pow1`
4×	`expm1-log1p-u` `rem-sqrt-square` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`exp-prod` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `pow1/2` `diff-log` `flip--`

Counts

4 → 161

Calls

4 calls:

8.0ms	(sqrt (pow (exp x) 2.0))
5.0ms	(sqrt (exp x))
57.0ms	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
18.0ms	(- (exp x) 1.0)

series380.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(sqrt (pow (exp x) 2.0))
23.0ms	(sqrt (exp x))
55.0ms	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
29.0ms	(- (exp x) 1.0)

simplify1.1s

Counts

173 → 173

Iterations

Iter	Nodes
done	5000
2	1449
1	473
0	220

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes55.0ms

Accuracy

71.4% (0.8b remaining)

Error of 0.9b against oracle of 0.2b and baseline of 2.9b

bsearch55.0ms

Steps

Iters	Range		Point
7	-1.3563033996188634e-16	-8.870655314211913e-19	-5.62024755586149e-17

simplify8.0ms

Iterations

Iter	Nodes
done	37
1	37
0	33

end0.0ms

sample7.7s

Algorithm

intervals

Results

4.6s	6603×	body	10240	exit
1.4s	12843×	body	80	nan
992.0ms	7414×	body	80	valid
104.0ms	698×	body	160	valid