Details

sample106.0ms

Algorithm

intervals

Results

52.0ms	129×	body	1280	valid
19.0ms	269×	body	80	valid
17.0ms	64×	body	640	valid
7.0ms	40×	body	320	valid
2.0ms	15×	body	160	valid

simplify24.0ms

Counts

1 → 1

Iterations

Iter	Nodes
7	36
6	36
5	35
4	33
3	29
2	22
1	14
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize27.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (exp x) (exp (- x)))

rewrite15.0ms

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:

15.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify3.2s

Counts

32 → 32

Iterations

Iter	Nodes
4	3839
3	1106
2	406
1	169
0	74

prune220.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* 1/3 x) x 2)
0.0b	(fma (pow x 5) 1/60 (* (fma (* 1/3 x) x 2) x))
0.0b	(* (fma (* 1/3 x) x 2) x)
0.3b	(* 1/3 x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

0.0ms	(fma (* 1/3 x) x 2)
0.0ms	(fma (pow x 5) 1/60 (* (fma (* 1/3 x) x 2) x))
6.0ms	(* (fma (* 1/3 x) x 2) x)
6.0ms	(* 1/3 x)

series336.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(fma (* 1/3 x) x 2)
93.0ms	(fma (pow x 5) 1/60 (* (fma (* 1/3 x) x 2) x))
129.0ms	(* (fma (* 1/3 x) x 2) x)
24.0ms	(* 1/3 x)

simplify7.6s

Counts

76 → 76

Iterations

Iter	Nodes
4	9380
3	1843
2	441
1	170
0	91

prune622.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (pow x 5) 1/60 (* (* (fma (* 1/3 x) x 2) (sqrt x)) (sqrt x)))
0.0b	(fma (* 1/3 x) x 2)
0.2b	(* (* (fma (* 1/3 x) x 2) (sqrt x)) (sqrt x))
0.3b	(* 1/3 x)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

0.0ms	(fma (pow x 5) 1/60 (* (* (fma (* 1/3 x) x 2) (sqrt x)) (sqrt x)))
0.0ms	(fma (* 1/3 x) x 2)
44.0ms	(* (* (fma (* 1/3 x) x 2) (sqrt x)) (sqrt x))
11.0ms	(* 1/3 x)

series301.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(fma (pow x 5) 1/60 (* (* (fma (* 1/3 x) x 2) (sqrt x)) (sqrt x)))
84.0ms	(fma (* 1/3 x) x 2)
124.0ms	(* (* (fma (* 1/3 x) x 2) (sqrt x)) (sqrt x))
16.0ms	(* 1/3 x)

simplify1.3s

Counts

79 → 79

Iterations

Iter	Nodes
3	2280
2	703
1	260
0	117

prune625.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	13
1	13
0	11

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.5s	3397×	body	1280	valid
1.2s	2493×	body	640	valid
1.1s	8032×	body	80	valid
321.0ms	1213×	body	320	valid
108.0ms	635×	body	160	valid