Details

sample40.0ms

Algorithm

intervals

Results

23.0ms

622×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	12	17
1	26	16
2	49	15
3	80	15
4	136	15
5	284	15
6	886	15
7	3852	15
done	5001	15

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
0.0b	(fma a a (* b b))
0.3b	(pow (fma a a (* b b)) 2.0)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log`
3×	`expm1-log1p-u` `unpow-prod-down` `pow-unpow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 39

Calls

3 calls:

0.0ms	(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
0.0ms	(fma a a (* b b))
1.0ms	(pow (fma a a (* b b)) 2.0)

series220.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
38.0ms	(fma a a (* b b))
112.0ms	(pow (fma a a (* b b)) 2.0)

simplify1.0s

Counts

48 → 48

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	79	580
1	148	561
2	401	493
3	1270	488
done	5000	487

prune161.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot b a)
0.0b	(hypot b a)
0.0b	(* (hypot b a) (hypot b a))
0.3b	(pow (* (hypot b a) (hypot b a)) 2.0)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1`
11×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
8×	`hypot-udef`
6×	`pow-pow` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `swap-sqr` `associate-r` `associate-l`
2×	`pow2` `pow-plus` `sqrt-unprod` `pow-prod-down` `pow-exp` `prod-exp` `pow-sqr` `pow-prod-up`
1×	`pow-to-exp` `unpow-prod-down` `rem-square-sqrt` `*-commutative` `sqrt-pow2` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

0.0ms	(hypot b a)
0.0ms	(hypot b a)
3.0ms	(* (hypot b a) (hypot b a))
3.0ms	(pow (* (hypot b a) (hypot b a)) 2.0)

series294.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(hypot b a)
49.0ms	(hypot b a)
66.0ms	(* (hypot b a) (hypot b a))
133.0ms	(pow (* (hypot b a) (hypot b a)) 2.0)

simplify2.6s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	80	688
1	156	603
2	430	540
3	1378	500
4	4721	495
done	5000	495

prune241.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot b a)
0.0b	(fma (* 4.0 b) b (pow (hypot b a) (+ 2.0 2.0)))
0.0b	(pow (hypot b a) (+ 2.0 2.0))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow-unpow`
11×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log`
3×	`expm1-log1p-u` `unpow-prod-down` `distribute-rgt-out` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`hypot-udef`
1×	`unpow-prod-up` `pow-to-exp` `pow-pow` `distribute-lft1-in` `count-2` `distribute-rgt1-in` `pow-exp` `sqrt-pow2` `fma-udef` `sqr-pow`

Counts

3 → 50

Calls

3 calls:

0.0ms	(hypot b a)
0.0ms	(fma (* 4.0 b) b (pow (hypot b a) (+ 2.0 2.0)))
4.0ms	(pow (hypot b a) (+ 2.0 2.0))

series259.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(hypot b a)
86.0ms	(fma (* 4.0 b) b (pow (hypot b a) (+ 2.0 2.0)))
123.0ms	(pow (hypot b a) (+ 2.0 2.0))

simplify2.0s

Counts

59 → 59

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	88	568
1	185	541
2	487	500
3	1287	483
4	4426	481
done	5001	481

prune180.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot b a)
0.0b	(pow (hypot b a) (+ 2.0 2.0))
0.2b	(pow (fma (* 4.0 b) b (pow (hypot b a) (+ 2.0 2.0))) 3)
30.7b	(cbrt (pow (fma (* 4.0 b) b (pow (hypot b a) (+ 2.0 2.0))) 3))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`pow-unpow`
12×	`cbrt-prod`
9×	`unpow-prod-down`
6×	`pow1` `add-exp-log` `cube-prod`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-out` `distribute-lft-out` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `hypot-udef` `pow-pow` `unpow3` `pow-exp`
1×	`unpow-prod-up` `distribute-lft1-in` `count-2` `pow1/3` `distribute-rgt1-in` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 88

Calls

4 calls:

0.0ms	(hypot b a)
4.0ms	(pow (hypot b a) (+ 2.0 2.0))
1.0ms	(pow (fma (* 4.0 b) b (pow (hypot b a) (+ 2.0 2.0))) 3)
2.0ms	(cbrt (pow (fma (* 4.0 b) b (pow (hypot b a) (+ 2.0 2.0))) 3))

series366.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(hypot b a)
123.0ms	(pow (hypot b a) (+ 2.0 2.0))
107.0ms	(pow (fma (* 4.0 b) b (pow (hypot b a) (+ 2.0 2.0))) 3)
86.0ms	(cbrt (pow (fma (* 4.0 b) b (pow (hypot b a) (+ 2.0 2.0))) 3))

simplify2.0s

Counts

100 → 100

Iterations

Useful iterations: 3 (525.0ms)

Iter	Nodes	Cost
0	141	1557
1	296	1362
2	788	1215
3	3599	1194
done	5000	1194

prune286.0ms

Pruning

3 alts after pruning (0 fresh and 3 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

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	12	14
done	12	14

end0.0ms

sample1.1s

Algorithm

intervals

Results

770.0ms

20276×

body

valid