Details

sample729.0ms

Algorithm

intervals

Results

363.0ms	216×	body	10240	exit
60.0ms	440×	body	80	nan
31.0ms	236×	body	80	valid
7.0ms	27×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

8.0ms	(sqrt (+ 1 (exp x)))
7.0ms	(+ 1 (exp x))

series48.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(sqrt (+ 1 (exp x)))
16.0ms	(+ 1 (exp x))

simplify2.6s

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
4	3721
3	1297
2	461
1	156
0	67

prune222.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

3.0ms	(sqrt (exp x))
0.0ms	(hypot 1 (sqrt (exp x)))

series108.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(sqrt (exp x))
94.0ms	(hypot 1 (sqrt (exp x)))

simplify1.7s

Counts

36 → 36

Iterations

Iter	Nodes
done	5036
4	2414
3	644
2	232
1	104
0	61

prune175.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(log1p (sqrt (exp x)))
0.0b	(hypot 1 (expm1 (log1p (sqrt (exp x)))))
0.0b	(expm1 (log1p (sqrt (exp x))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

3.0ms	(sqrt (exp x))
0.0ms	(log1p (sqrt (exp x)))
0.0ms	(hypot 1 (expm1 (log1p (sqrt (exp x)))))
0.0ms	(expm1 (log1p (sqrt (exp x))))

series566.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(sqrt (exp x))
84.0ms	(log1p (sqrt (exp x)))
321.0ms	(hypot 1 (expm1 (log1p (sqrt (exp x)))))
138.0ms	(expm1 (log1p (sqrt (exp x))))

simplify1.7s

Counts

66 → 66

Iterations

Iter	Nodes
done	5007
4	2761
3	753
2	297
1	149
0	90

prune364.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (exp x) (exp x) 1)
0.0b	(+ (exp (* 3 x)) 1)
0.0b	(- (fma (exp x) (exp x) 1) (exp x))
0.3b	(/ (+ (exp (* 3 x)) 1) (- (fma (exp x) (exp x) 1) (exp x)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
20×	`times-frac`
9×	`prod-diff`
8×	`add-log-exp`
7×	`distribute-lft-out`
6×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
5×	`associate-/r*`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`fma-def` `fma-neg`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `fma-udef` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-exp` `associate--l+` `div-inv`

Counts

4 → 107

Calls

4 calls:

0.0ms	(fma (exp x) (exp x) 1)
21.0ms	(+ (exp (* 3 x)) 1)
13.0ms	(- (fma (exp x) (exp x) 1) (exp x))
42.0ms	(/ (+ (exp (* 3 x)) 1) (- (fma (exp x) (exp x) 1) (exp x)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma (exp x) (exp x) 1)
11.0ms	(+ (exp (* 3 x)) 1)
38.0ms	(- (fma (exp x) (exp x) 1) (exp x))
77.0ms	(/ (+ (exp (* 3 x)) 1) (- (fma (exp x) (exp x) 1) (exp x)))

simplify3.1s

Counts

119 → 119

Iterations

Iter	Nodes
done	5004
3	2738
2	900
1	368
0	160

prune488.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes25.0ms

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
done	7
1	7
0	5

end0.0ms

sample10.3s

Algorithm

intervals

Results

6.3s	6552×	body	10240	exit
2.0s	12863×	body	80	nan
1.3s	7400×	body	80	valid
177.0ms	738×	body	160	valid