Details

sample135.0ms

Algorithm

intervals

Results

56.0ms	101×	body	1280	valid
32.0ms	82×	body	640	valid
19.0ms	293×	body	80	valid
11.0ms	43×	body	320	valid
3.0ms	19×	body	160	valid

simplify52.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.3b

localize11.0ms

Local error

Found 1 expressions with local error:

5.2b	(- (exp x) (exp (- x)))

rewrite13.0ms

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:

13.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify1.6s

Counts

32 → 32

Iterations

Iter	Nodes
4	4236
3	1107
2	407
1	171
0	74

prune182.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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)

rewrite9.0ms

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))
8.0ms	(* (pow x 5) 1/60)

series197.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(fma 1/3 (* x x) 2)
59.0ms	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
68.0ms	(* (pow x 5) 1/60)

simplify2.9s

Counts

59 → 59

Iterations

Iter	Nodes
4	6716
3	1488
2	435
1	172
0	86

prune526.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
11×	`add-exp-log`
10×	`associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube`
6×	`pow1` `associate-r` `add-log-exp`
5×	`fma-udef`
4×	`expm1-log1p-u` `unpow-prod-down` `prod-exp` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `*-commutative` `cbrt-unprod` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `fma-def` `flip3-+` `pow-prod-down` `pow-exp` `flip-+`

Counts

4 → 79

Calls

4 calls:

0.0ms	(fma 1/3 (* x x) 2)
11.0ms	(+ (* x (fma 1/3 (* x x) 2)) (* (pow x 5) 1/60))
8.0ms	(* x (fma 1/3 (* x x) 2))
16.0ms	(* (pow x 5) 1/60)

series333.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(fma 1/3 (* x x) 2)
66.0ms	(+ (* x (fma 1/3 (* x x) 2)) (* (pow x 5) 1/60))
125.0ms	(* x (fma 1/3 (* x x) 2))
74.0ms	(* (pow x 5) 1/60)

simplify1.2s

Counts

91 → 91

Iterations

Iter	Nodes
3	3590
2	830
1	286
0	120

prune589.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (* 1/3 (* x x))) (fma 1/60 (pow x 5) (* 2 x)))
0.0b	(fma 1/60 (pow x 5) (* 2 x))
0.1b	(* x (* 1/3 (* x x)))
0.2b	(* 1/3 (* x x))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-l*` `add-cube-cbrt` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`associate-r` `*-commutative` `fma-udef`
1×	`+-commutative` `associate-+r+` `sum-log` `fma-def` `flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

39.0ms	(+ (* x (* 1/3 (* x x))) (fma 1/60 (pow x 5) (* 2 x)))
0.0ms	(fma 1/60 (pow x 5) (* 2 x))
37.0ms	(* x (* 1/3 (* x x)))
20.0ms	(* 1/3 (* x x))

series311.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ (* x (* 1/3 (* x x))) (fma 1/60 (pow x 5) (* 2 x)))
158.0ms	(fma 1/60 (pow x 5) (* 2 x))
39.0ms	(* x (* 1/3 (* x x)))
40.0ms	(* 1/3 (* x x))

simplify2.6s

Counts

85 → 85

Iterations

Iter	Nodes
3	5381
2	1026
1	268
0	102

prune825.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	17
1	17
0	13

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.6s	3445×	body	1280	valid
996.0ms	2412×	body	640	valid
561.0ms	7991×	body	80	valid
357.0ms	1231×	body	320	valid
95.0ms	636×	body	160	valid