Details

sample419.0ms

Algorithm

intervals

Results

241.0ms	190×	body	10240	exit
51.0ms	379×	body	80	nan
32.0ms	238×	body	80	valid
6.0ms	22×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
7	2001
6	894
5	301
4	108
3	53
2	30
1	24
0	10

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:

5.0ms	(+ 1 (exp x))
18.0ms	(sqrt (+ 1 (exp x)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ 1 (exp x))
54.0ms	(sqrt (+ 1 (exp x)))

simplify1.1s

Counts

46 → 46

Iterations

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

prune336.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (exp x) (* (exp x) (exp x)) 1)
0.0b	(/ (sqrt (fma (exp x) (* (exp x) (exp x)) 1)) (sqrt (fma (exp x) (exp x) (- 1 (exp x)))))
0.1b	(* (exp x) (exp x))
4.3b	(- 1 (exp x))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
49×	`add-cube-cbrt`
42×	`sqrt-prod`
36×	`times-frac`
18×	`exp-prod`
11×	`pow1`
9×	`prod-diff`
8×	`add-cbrt-cube`
6×	`associate-/r` `add-exp-log` `associate-/l` `add-log-exp`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `swap-sqr` `associate-r` `associate-l`
2×	`difference-of-squares`
1×	`pow2` `cbrt-undiv` `sqrt-undiv` `clear-num` `sub-neg` `frac-2neg` `pow-plus` `flip3--` `diff-log` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

0.0ms	(fma (exp x) (* (exp x) (exp x)) 1)
11.0ms	(/ (sqrt (fma (exp x) (* (exp x) (exp x)) 1)) (sqrt (fma (exp x) (exp x) (- 1 (exp x)))))
22.0ms	(* (exp x) (exp x))
7.0ms	(- 1 (exp x))

series298.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(fma (exp x) (* (exp x) (exp x)) 1)
184.0ms	(/ (sqrt (fma (exp x) (* (exp x) (exp x)) 1)) (sqrt (fma (exp x) (exp x) (- 1 (exp x)))))
25.0ms	(* (exp x) (exp x))
35.0ms	(- 1 (exp x))

simplify1.4s

Counts

154 → 154

Iterations

Iter	Nodes
done	2000
3	2000
2	1010
1	454
0	225

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `add-log-exp`
5×	`expm1-log1p-u` `pow1`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `sqrt-prod`
1×	`+-commutative` `rem-sqrt-square` `log1p-udef` `expm1-log1p` `sum-log` `sqrt-pow1` `flip3-+` `pow1/2` `log1p-expm1` `flip-+` `distribute-lft-out` `expm1-udef`

Counts

4 → 58

Calls

4 calls:

9.0ms	(+ 1 (exp x))
1.0ms	(sqrt (expm1 (log1p (+ 1 (exp x)))))
0.0ms	(expm1 (log1p (+ 1 (exp x))))
0.0ms	(log1p (+ 1 (exp x)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ 1 (exp x))
147.0ms	(sqrt (expm1 (log1p (+ 1 (exp x)))))
136.0ms	(expm1 (log1p (+ 1 (exp x))))
67.0ms	(log1p (+ 1 (exp x)))

simplify1.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	2008
4	2008
3	1343
2	512
1	199
0	93

prune667.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	5

end0.0ms

sample9.6s

Algorithm

intervals

Results

5.8s	6542×	body	10240	exit
1.8s	12405×	body	80	nan
1.4s	7401×	body	80	valid
208.0ms	725×	body	160	valid