Details

sample24.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	10
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ 2 (+ (exp x) (exp (- x))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`fma-def` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

2 → 54

Calls

2 calls:

16.0ms	(+ (exp x) (exp (- x)))
25.0ms	(/ 2 (+ (exp x) (exp (- x))))

series81.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (exp x) (exp (- x)))
49.0ms	(/ 2 (+ (exp x) (exp (- x))))

simplify692.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	2000
3	1537
2	573
1	214
0	94

prune182.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(log1p (/ 2 (+ (exp x) (exp (- x)))))
0.0b	(expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))
0.0b	(/ 2 (+ (exp x) (exp (- x))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`expm1-log1p-u` `distribute-lft-out`
4×	`pow1` `associate-/r*` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `log1p-udef` `expm1-log1p` `clear-num` `sum-log` `frac-2neg` `div-exp` `log1p-expm1` `div-inv` `expm1-udef`

Counts

4 → 78

Calls

4 calls:

15.0ms	(+ (exp x) (exp (- x)))
1.0ms	(log1p (/ 2 (+ (exp x) (exp (- x)))))
0.0ms	(expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))
26.0ms	(/ 2 (+ (exp x) (exp (- x))))

series338.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (exp x) (exp (- x)))
93.0ms	(log1p (/ 2 (+ (exp x) (exp (- x)))))
164.0ms	(expm1 (log1p (/ 2 (+ (exp x) (exp (- x))))))
48.0ms	(/ 2 (+ (exp x) (exp (- x))))

simplify464.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	2001
2	693
1	273
0	128

prune271.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (* x x) (fma 5/24 (* x x) -1/2) 1)
0.1b	(fma 5/24 (* x x) -1/2)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 22

Calls

2 calls:

0.0ms	(fma (* x x) (fma 5/24 (* x x) -1/2) 1)
0.0ms	(fma 5/24 (* x x) -1/2)

series117.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(fma (* x x) (fma 5/24 (* x x) -1/2) 1)
56.0ms	(fma 5/24 (* x x) -1/2)

simplify477.0ms

Counts

28 → 28

Iterations

Iter	Nodes
done	2015
3	721
2	166
1	70
0	40

prune101.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample684.0ms

Algorithm

intervals

Results

574.0ms

8000×

body

valid