Details

sample31.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify40.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

40.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 36

Calls

1 calls:

Slowest

20.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

51.0ms

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

simplify1.5s

Counts

37 → 39

Calls

37 calls:

Slowest

245.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
135.0ms	(/ 2 (+ (exp (* -1 x)) (exp x)))
131.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
102.0ms	(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
87.0ms	(/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))

prune359.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 72

Calls

2 calls:

Slowest

32.0ms	(/ 2 (+ (exp x) (exp (- x))))
21.0ms	(/ 2 (+ (exp x) (exp (- x))))

series80.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

41.0ms	(/ 2 (+ (exp x) (exp (- x))))
40.0ms	(/ 2 (+ (exp x) (exp (- x))))

simplify3.0s

Counts

74 → 78

Calls

74 calls:

Slowest

252.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
237.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
154.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
140.0ms	(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
135.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))

prune920.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ (exp x) (exp (- x))))
0.4b	(cbrt (+ (exp x) (exp (- x))))
0.4b	(cbrt (+ (exp x) (exp (- x))))
0.0b	(/ (/ (sqrt 2) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

672×	`times-frac`
521×	`*-un-lft-identity`
400×	`cbrt-prod`
321×	`add-sqr-sqrt` `add-cube-cbrt`
168×	`sqrt-prod`
100×	`distribute-lft-out`
48×	`associate-/l*`
24×	`cbrt-div`
18×	`associate-/r/`
12×	`flip3-+` `flip-+`
9×	`add-exp-log` `div-inv`
7×	`associate-/r*`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 462

Calls

4 calls:

Slowest

71.0ms	(/ (/ (sqrt 2) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))))
15.0ms	(cbrt (+ (exp x) (exp (- x))))
9.0ms	(cbrt (+ (exp x) (exp (- x))))
7.0ms	(cbrt (+ (exp x) (exp (- x))))

series862.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

290.0ms	(/ (/ (sqrt 2) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))))
220.0ms	(cbrt (+ (exp x) (exp (- x))))
182.0ms	(cbrt (+ (exp x) (exp (- x))))
170.0ms	(cbrt (+ (exp x) (exp (- x))))

simplify45.0s

Counts

763 → 474

Calls

763 calls:

Slowest

489.0ms	(* (sqrt 2) (pow (/ 1 (pow (+ (exp (* -1 x)) (exp x)) 2)) 1/3))
471.0ms	(/ (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) (cbrt 1))
447.0ms	(- (+ (* 1/6 (* (pow x 2) (pow 2 1/3))) (pow 2 1/3)) (* 1/72 (* (pow x 4) (pow 2 1/3))))
397.0ms	(pow (+ (exp (* -1 x)) (exp x)) 1/3)
397.0ms	(- (+ (* 1/6 (* (pow x 2) (pow 2 1/3))) (pow 2 1/3)) (* 1/72 (* (pow x 4) (pow 2 1/3))))

prune6.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample671.0ms

Algorithm

intervals

Results

576.0ms

8000×

body

valid