Details

sample32.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	10
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:

10.0ms	(+ (exp x) (exp (- x)))
23.0ms	(/ 2 (+ (exp x) (exp (- x))))

series62.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp x) (exp (- x)))
34.0ms	(/ 2 (+ (exp x) (exp (- x))))

simplify1.6s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	3997
2	711
1	214
0	94

prune215.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 2 (+ (exp x) (exp (- x))))
0.0b	(/ 2 (+ (exp x) (exp (- x))))
0.2b	(sqrt (/ 2 (+ (exp x) (exp (- x)))))
0.2b	(sqrt (/ 2 (+ (exp x) (exp (- x)))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
50×	`times-frac`
44×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
36×	`sqrt-prod`
14×	`distribute-lft-out`
8×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `associate-/r/`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `rem-sqrt-square` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-exp`

Counts

4 → 138

Calls

4 calls:

23.0ms	(/ 2 (+ (exp x) (exp (- x))))
26.0ms	(/ 2 (+ (exp x) (exp (- x))))
29.0ms	(sqrt (/ 2 (+ (exp x) (exp (- x)))))
25.0ms	(sqrt (/ 2 (+ (exp x) (exp (- x)))))

series371.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ 2 (+ (exp x) (exp (- x))))
41.0ms	(/ 2 (+ (exp x) (exp (- x))))
140.0ms	(sqrt (/ 2 (+ (exp x) (exp (- x)))))
144.0ms	(sqrt (/ 2 (+ (exp x) (exp (- x)))))

simplify812.0ms

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
2	1013
1	292
0	139

prune776.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

15.0ms	(* (* x x) (fma (* x x) 5/24 -1/2))
0.0ms	(fma (* x x) 5/24 -1/2)

series179.0ms

Counts

2 → 6

Calls

2 calls:

119.0ms	(* (* x x) (fma (* x x) 5/24 -1/2))
60.0ms	(fma (* x x) 5/24 -1/2)

simplify908.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
2	1218
1	157
0	58

prune102.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes64.0ms

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

sample863.0ms

Algorithm

intervals

Results

773.0ms

8000×

body

valid