Details

sample23.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	10
0	7

prune10.0ms

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))))

rewrite31.0ms

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)))
20.0ms	(/ 2 (+ (exp x) (exp (- x))))

series108.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (exp x) (exp (- x)))
62.0ms	(/ 2 (+ (exp x) (exp (- x))))

simplify1.2s

Counts

60 → 60

Iterations

Iter	Nodes
done	2000
4	2000
3	1537
2	573
1	214
0	94

prune261.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(/ 8 (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
0.0b	(cbrt (/ 8 (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))))

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

61×	`flip3-+` `flip-+`
60×	`frac-times`
52×	`associate-/r/`
33×	`cbrt-prod`
30×	`associate-*l/`
29×	`*-un-lft-identity`
18×	`associate-*r/`
15×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
13×	`add-cube-cbrt`
11×	`pow1`
7×	`distribute-lft-out`
6×	`times-frac` `swap-sqr` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `associate-l` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-def` `div-exp` `associate-/l*`
2×	`div-inv`
1×	`pow2` `distribute-rgt-in` `+-commutative` `cbrt-div` `clear-num` `associate-/r` `sum-log` `frac-2neg` `distribute-lft-in` `pow-plus` `pow1/3` `pow-prod-down` `pow-sqr` `-commutative` `pow-prod-up` `unswap-sqr`

Counts

4 → 158

Calls

4 calls:

20.0ms	(+ (exp x) (exp (- x)))
99.0ms	(* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
141.0ms	(/ 8 (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
108.0ms	(cbrt (/ 8 (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))))

series280.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (exp x) (exp (- x)))
64.0ms	(* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
107.0ms	(/ 8 (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
69.0ms	(cbrt (/ 8 (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))))

simplify1.3s

Counts

170 → 170

Iterations

Iter	Nodes
done	2004
2	2004
1	802
0	268

prune853.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
54×	`cbrt-prod`
48×	`times-frac`
37×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`distribute-lft-out`
8×	`associate-/r/`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `associate-/r*` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`

Counts

4 → 126

Calls

4 calls:

24.0ms	(/ 2 (+ (exp x) (exp (- x))))
10.0ms	(cbrt (/ 2 (+ (exp x) (exp (- x)))))
12.0ms	(cbrt (/ 2 (+ (exp x) (exp (- x)))))
12.0ms	(cbrt (/ 2 (+ (exp x) (exp (- x)))))

series859.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ 2 (+ (exp x) (exp (- x))))
277.0ms	(cbrt (/ 2 (+ (exp x) (exp (- x)))))
273.0ms	(cbrt (/ 2 (+ (exp x) (exp (- x)))))
262.0ms	(cbrt (/ 2 (+ (exp x) (exp (- x)))))

simplify1.0s

Counts

138 → 138

Iterations

Iter	Nodes
done	2002
3	2002
2	739
1	277
0	134

prune771.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample705.0ms

Algorithm

intervals

Results

592.0ms

8000×

body

valid