Details

sample107.0ms

Algorithm

intervals

Results

47.0ms	103×	body	1280	valid
27.0ms	80×	body	640	valid
11.0ms	245×	body	80	valid
7.0ms	42×	body	320	valid
3.0ms	24×	body	160	valid

simplify40.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	38
6	38
5	37
4	35
3	31
2	24
1	14
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize19.0ms

Local error

Found 1 expressions with local error:

7.8b	(- (exp x) (exp (- x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 29

Calls

1 calls:

28.0ms

(- (exp x) (exp (- x)))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(- (exp x) (exp (- x)))

simplify2.9s

Counts

32 → 32

Iterations

Iter	Nodes
done	5000
4	4578
3	1173
2	419
1	171
0	74

prune129.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/3 (* x x) 2)
0.0b	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
0.1b	(* (pow x 5) 1/60)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

0.0ms	(fma 1/3 (* x x) 2)
0.0ms	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
15.0ms	(* (pow x 5) 1/60)

series259.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(fma 1/3 (* x x) 2)
92.0ms	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
84.0ms	(* (pow x 5) 1/60)

simplify1.6s

Counts

59 → 59

Iterations

Iter	Nodes
done	5003
3	1674
2	445
1	172
0	86

prune234.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (pow x 5) 1/60 (* (fma 1/3 (* x x) 2) x))
0.0b	(fma 1/3 (* x x) 2)
0.0b	(* (fma 1/3 (* x x) 2) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

0.0ms	(fma (pow x 5) 1/60 (* (fma 1/3 (* x x) 2) x))
0.0ms	(fma 1/3 (* x x) 2)
10.0ms	(* (fma 1/3 (* x x) 2) x)

series307.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(fma (pow x 5) 1/60 (* (fma 1/3 (* x x) 2) x))
82.0ms	(fma 1/3 (* x x) 2)
138.0ms	(* (fma 1/3 (* x x) 2) x)

simplify2.0s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
3	1799
2	353
1	129
0	67

prune208.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/3 (* x x) 2)
0.0b	(fma (pow x 5) 1/60 (* (sqrt (fma 1/3 (* x x) 2)) (* (sqrt (fma 1/3 (* x x) 2)) x)))
0.4b	(* (sqrt (fma 1/3 (* x x) 2)) (* (sqrt (fma 1/3 (* x x) 2)) x))
0.5b	(* (sqrt (fma 1/3 (* x x) 2)) x)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

0.0ms	(fma 1/3 (* x x) 2)
0.0ms	(fma (pow x 5) 1/60 (* (sqrt (fma 1/3 (* x x) 2)) (* (sqrt (fma 1/3 (* x x) 2)) x)))
25.0ms	(* (sqrt (fma 1/3 (* x x) 2)) (* (sqrt (fma 1/3 (* x x) 2)) x))
8.0ms	(* (sqrt (fma 1/3 (* x x) 2)) x)

series460.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(fma 1/3 (* x x) 2)
95.0ms	(fma (pow x 5) 1/60 (* (sqrt (fma 1/3 (* x x) 2)) (* (sqrt (fma 1/3 (* x x) 2)) x)))
128.0ms	(* (sqrt (fma 1/3 (* x x) 2)) (* (sqrt (fma 1/3 (* x x) 2)) x))
156.0ms	(* (sqrt (fma 1/3 (* x x) 2)) x)

simplify2.0s

Counts

83 → 83

Iterations

Iter	Nodes
done	5008
3	2235
2	712
1	255
0	114

prune374.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample3.9s

Algorithm

intervals

Results

2.0s	3362×	body	1280	valid
903.0ms	2453×	body	640	valid
409.0ms	8238×	body	80	valid
277.0ms	1262×	body	320	valid
74.0ms	623×	body	160	valid