Details

sample43.0ms

Algorithm

intervals

Results

22.0ms

327×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	1460
6	375
5	157
4	69
3	34
2	20
1	11
0	5

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* (* x y) y))
0.1b	(* (* x y) y)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
1×	`exp-prod` `exp-to-pow` `associate-l` `*-commutative` `rem-exp-log`

Counts

2 → 34

Calls

2 calls:

21.0ms	(exp (* (* x y) y))
85.0ms	(* (* x y) y)

series132.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(exp (* (* x y) y))
58.0ms	(* (* x y) y)

simplify5.9s

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
3	1932
2	466
1	146
0	59

prune391.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 3 expressions with local error:

0.0b	(cbrt (exp (* (* y y) (fma 2 x x))))
0.0b	(exp (* (* y y) (fma 2 x x)))
7.7b	(* (* y y) (fma 2 x x))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `fma-udef`
5×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`exp-sum`
3×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
1×	`exp-prod` `exp-to-pow` `pow1/3` `associate-l` `*-commutative` `unswap-sqr` `rem-exp-log`

Counts

3 → 55

Calls

3 calls:

12.0ms	(cbrt (exp (* (* y y) (fma 2 x x))))
21.0ms	(exp (* (* y y) (fma 2 x x)))
82.0ms	(* (* y y) (fma 2 x x))

series269.0ms

Counts

3 → 9

Calls

3 calls:

156.0ms	(cbrt (exp (* (* y y) (fma 2 x x))))
60.0ms	(exp (* (* y y) (fma 2 x x)))
52.0ms	(* (* y y) (fma 2 x x))

simplify6.2s

Counts

64 → 64

Iterations

Iter	Nodes
done	5004
3	2276
2	560
1	192
0	84

prune710.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (exp (* (* y y) (fma 2 x x))) 1/3)
0.0b	(exp (* (* y y) (fma 2 x x)))
7.7b	(* (* y y) (fma 2 x x))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt` `fma-udef` `add-log-exp`
5×	`unpow-prod-down`
4×	`exp-sum`
3×	`distribute-rgt-in` `expm1-log1p-u` `pow-unpow` `pow-pow` `distribute-lft-in` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
2×	`exp-prod` `exp-to-pow`
1×	`pow-to-exp` `unpow1/3` `associate-l` `pow-exp` `*-commutative` `unswap-sqr` `sqr-pow` `rem-exp-log`

Counts

3 → 64

Calls

3 calls:

27.0ms	(pow (exp (* (* y y) (fma 2 x x))) 1/3)
21.0ms	(exp (* (* y y) (fma 2 x x)))
55.0ms	(* (* y y) (fma 2 x x))

series238.0ms

Counts

3 → 9

Calls

3 calls:

159.0ms	(pow (exp (* (* y y) (fma 2 x x))) 1/3)
32.0ms	(exp (* (* y y) (fma 2 x x)))
47.0ms	(* (* y y) (fma 2 x x))

simplify6.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5005
3	3503
2	806
1	284
0	99

prune755.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize135.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* (* y y) (fma 2 x x)))
7.7b	(* (* y y) (fma 2 x x))
7.7b	(* (* y y) (fma 2 x x))
7.7b	(* (* y y) (fma 2 x x))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
9×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`fma-udef`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `insert-posit16` `log1p-expm1-u`
3×	`associate-l` `*-commutative` `unswap-sqr`
2×	`exp-sum`
1×	`exp-prod` `exp-to-pow` `rem-exp-log`

Counts

4 → 87

Calls

4 calls:

20.0ms	(exp (* (* y y) (fma 2 x x)))
75.0ms	(* (* y y) (fma 2 x x))
60.0ms	(* (* y y) (fma 2 x x))
85.0ms	(* (* y y) (fma 2 x x))

series226.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(exp (* (* y y) (fma 2 x x)))
60.0ms	(* (* y y) (fma 2 x x))
59.0ms	(* (* y y) (fma 2 x x))
58.0ms	(* (* y y) (fma 2 x x))

simplify5.8s

Counts

99 → 99

Iterations

Iter	Nodes
done	5003
3	1949
2	511
1	167
0	65

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes309.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.1s

Algorithm

intervals

Results

659.0ms

10632×

body

valid