Details

sample504.0ms

Algorithm

intervals

Results

313.0ms	204×	body	10240	exit
49.0ms	411×	body	80	nan
27.0ms	239×	body	80	valid
5.0ms	20×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
7	3030
6	796
5	283
4	106
3	51
2	28
1	22
0	10

prune11.0ms

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
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`

Counts

2 → 39

Calls

2 calls:

14.0ms	(+ (exp x) 1)
12.0ms	(sqrt (+ (exp x) 1))

series87.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (exp x) 1)
72.0ms	(sqrt (+ (exp x) 1))

simplify1.3s

Counts

45 → 45

Iterations

Iter	Nodes
4	2680
3	862
2	345
1	146
0	65

prune401.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (log1p (exp x)))
0.0b	(sqrt (exp (log1p (exp x))))
0.0b	(log1p (exp x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

2.0ms	(exp (log1p (exp x)))
3.0ms	(sqrt (exp (log1p (exp x))))
0.0ms	(log1p (exp x))

series342.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(exp (log1p (exp x)))
144.0ms	(sqrt (exp (log1p (exp x))))
92.0ms	(log1p (exp x))

simplify925.0ms

Counts

55 → 55

Iterations

Iter	Nodes
4	2144
3	709
2	277
1	130
0	73

prune490.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (exp x) (exp x) 1)
0.0b	(- (fma (exp x) (exp x) 1) (exp x))
0.0b	(+ (exp (* 3 x)) 1)
0.1b	(exp (* 3 x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`prod-diff`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `fma-neg`
2×	`fma-udef`
1×	`+-commutative` `exp-prod` `sum-log` `sub-neg` `flip3-+` `flip3--` `exp-to-pow` `diff-log` `associate--l+` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `rem-exp-log`

Counts

4 → 72

Calls

4 calls:

0.0ms	(fma (exp x) (exp x) 1)
6.0ms	(- (fma (exp x) (exp x) 1) (exp x))
11.0ms	(+ (exp (* 3 x)) 1)
8.0ms	(exp (* 3 x))

series90.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma (exp x) (exp x) 1)
41.0ms	(- (fma (exp x) (exp x) 1) (exp x))
15.0ms	(+ (exp (* 3 x)) 1)
8.0ms	(exp (* 3 x))

simplify20.0s

Counts

84 → 84

Iterations

Iter	Nodes
4	8423
3	1766
2	599
1	263
0	118

prune860.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	5
0	5

end0.0ms

sample9.7s

Algorithm

intervals

Results

5.8s	6638×	body	10240	exit
2.4s	12712×	body	80	nan
1.0s	7439×	body	80	valid
155.0ms	687×	body	160	valid