Details

sample377.0ms

Algorithm

intervals

Results

207.0ms	196×	body	10240	exit
47.0ms	388×	body	80	nan
36.0ms	244×	body	80	valid
5.0ms	16×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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

series64.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(sqrt (+ 1 (exp x)))
16.0ms	(+ 1 (exp x))

simplify1.1s

Counts

46 → 46

Iterations

Iter	Nodes
done	2027
4	2027
3	1297
2	461
1	156
0	67

prune389.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

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:

5.0ms	(sqrt (exp (log1p (exp x))))
1.0ms	(log1p (exp x))
4.0ms	(exp (log1p (exp x)))

series344.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(sqrt (exp (log1p (exp x))))
78.0ms	(log1p (exp x))
118.0ms	(exp (log1p (exp x)))

simplify972.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	2005
4	2005
3	832
2	297
1	132
0	73

prune471.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(+ 1 (exp x))
0.0b	(* (+ 1 (exp x)) (+ 1 (exp x)))
0.3b	(cbrt (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x))))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

35×	`flip3-+` `flip-+`
32×	`frac-times`
28×	`*-un-lft-identity`
26×	`cbrt-div`
16×	`associate-*l/`
12×	`add-sqr-sqrt`
11×	`pow1`
10×	`associate-*r/` `add-cube-cbrt`
8×	`distribute-lft-out` `add-log-exp`
6×	`fma-def` `add-cbrt-cube` `swap-sqr` `add-exp-log`
4×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `sum-log`
1×	`cbrt-prod` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

5.0ms	(+ 1 (exp x))
5.0ms	(+ 1 (exp x))
46.0ms	(* (+ 1 (exp x)) (+ 1 (exp x)))
75.0ms	(cbrt (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x))))

series53.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ 1 (exp x))
9.0ms	(+ 1 (exp x))
23.0ms	(* (+ 1 (exp x)) (+ 1 (exp x)))
10.0ms	(cbrt (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x))))

simplify2.0s

Counts

130 → 130

Iterations

Iter	Nodes
done	2018
3	2018
2	1703
1	543
0	162

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample9.4s

Algorithm

intervals

Results

5.6s	6647×	body	10240	exit
1.8s	12721×	body	80	nan
1.4s	7402×	body	80	valid
164.0ms	740×	body	160	valid