Details

sample433.0ms

Algorithm

intervals

Results

151.0ms	222×	body	10240	exit
87.0ms	391×	body	80	nan
27.0ms	241×	body	80	valid
5.0ms	21×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
7	2001
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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:

7.0ms	(+ 1 (exp x))
9.0ms	(sqrt (+ 1 (exp x)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ 1 (exp x))
71.0ms	(sqrt (+ 1 (exp x)))

simplify1.1s

Counts

46 → 46

Iterations

Iter	Nodes
done	2029
4	2029
3	1371
2	542
1	156
0	67

prune161.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(hypot 1 (sqrt (exp x)))
0.4b	(sqrt (exp x))

rewrite7.0ms

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:

0.0ms	(hypot 1 (sqrt (exp x)))
5.0ms	(sqrt (exp x))

series154.0ms

Counts

2 → 6

Calls

2 calls:

130.0ms	(hypot 1 (sqrt (exp x)))
23.0ms	(sqrt (exp x))

simplify1.1s

Counts

36 → 36

Iterations

Iter	Nodes
done	2004
4	2004
3	666
2	232
1	104
0	61

prune195.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1)
0.0b	(sqrt (+ (exp x) 1))
0.0b	(exp (log (sqrt (+ (exp x) 1))))
0.4b	(log (sqrt (+ (exp x) 1)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
14×	`log-prod`
12×	`sqrt-prod`
11×	`add-cube-cbrt`
9×	`pow1`
7×	`exp-sum`
6×	`exp-prod` `sqrt-div` `log-pow` `add-log-exp`
5×	`add-exp-log`
4×	`expm1-log1p-u` `log-div` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
3×	`fma-def` `sqrt-pow1` `pow1/2`
2×	`exp-diff` `hypot-def`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `rem-log-exp` `rem-exp-log`

Counts

4 → 88

Calls

4 calls:

14.0ms	(+ (exp x) 1)
9.0ms	(sqrt (+ (exp x) 1))
11.0ms	(exp (log (sqrt (+ (exp x) 1))))
6.0ms	(log (sqrt (+ (exp x) 1)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ (exp x) 1)
47.0ms	(sqrt (+ (exp x) 1))
39.0ms	(exp (log (sqrt (+ (exp x) 1))))
149.0ms	(log (sqrt (+ (exp x) 1)))

simplify1.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	2013
4	2013
3	1919
2	611
1	248
0	124

prune433.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (exp (fma 2 x x)) 1) (fma (exp x) (exp x) (- 1 (exp x))))
0.0b	(exp (fma 2 x x))
0.4b	(log (sqrt (/ (+ (exp (fma 2 x x)) 1) (fma (exp x) (exp x) (- 1 (exp x))))))
4.4b	(- 1 (exp x))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
24×	`times-frac`
19×	`log-prod`
16×	`sqrt-prod`
9×	`prod-diff`
7×	`add-exp-log` `distribute-lft-out` `add-log-exp`
6×	`pow1` `add-cbrt-cube`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`exp-prod` `associate-/r*` `fma-neg` `log-pow`
2×	`div-inv` `difference-of-squares` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `sub-neg` `frac-2neg` `sqrt-pow1` `flip3-+` `flip3--` `pow1/2` `sqrt-div` `diff-log` `div-exp` `rem-log-exp` `exp-sum` `flip-+` `fma-udef` `flip--` `distribute-lft-out--` `rem-exp-log`

Counts

4 → 115

Calls

4 calls:

42.0ms	(/ (+ (exp (fma 2 x x)) 1) (fma (exp x) (exp x) (- 1 (exp x))))
4.0ms	(exp (fma 2 x x))
12.0ms	(log (sqrt (/ (+ (exp (fma 2 x x)) 1) (fma (exp x) (exp x) (- 1 (exp x))))))
20.0ms	(- 1 (exp x))

series361.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (+ (exp (fma 2 x x)) 1) (fma (exp x) (exp x) (- 1 (exp x))))
19.0ms	(exp (fma 2 x x))
229.0ms	(log (sqrt (/ (+ (exp (fma 2 x x)) 1) (fma (exp x) (exp x) (- 1 (exp x))))))
27.0ms	(- 1 (exp x))

simplify1.2s

Counts

127 → 127

Iterations

Iter	Nodes
done	2002
3	2002
2	967
1	447
0	232

prune639.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	5

end0.0ms

sample9.6s

Algorithm

intervals

Results

5.7s	6395×	body	10240	exit
1.9s	12576×	body	80	nan
1.3s	7410×	body	80	valid
186.0ms	708×	body	160	valid