Details

sample38.0ms

Algorithm

intervals

Results

27.0ms

256×

body

valid

simplify32.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

32.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

Slowest

17.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

58.0ms

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

simplify2.5s

Counts

50 → 37

Calls

50 calls:

Slowest

470.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
283.0ms	(* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x)))))
221.0ms	(/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))
211.0ms	(/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))
155.0ms	(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))

prune302.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

1.4b	(- (log 2) (log (+ (exp x) (exp (- x)))))
0.7b	(log (+ (exp x) (exp (- x))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`log-prod`
7×	`add-sqr-sqrt` `pow1`
5×	`log-pow` `add-cube-cbrt`
4×	`log-div` `associate--r+` `distribute-lft-out--`
3×	`associate--l+` `add-exp-log`
2×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out` `associate--r-` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 43

Calls

2 calls:

Slowest

20.0ms	(log (+ (exp x) (exp (- x))))
15.0ms	(- (log 2) (log (+ (exp x) (exp (- x)))))

series564.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

422.0ms	(- (log 2) (log (+ (exp x) (exp (- x)))))
142.0ms	(log (+ (exp x) (exp (- x))))

simplify4.2s

Counts

57 → 49

Calls

57 calls:

Slowest

510.0ms	(- (* 1/12 (pow x 4)) (+ (* 1/2 (pow x 2)) (* 1/45 (pow x 6))))
410.0ms	(* (* (- (log 2) (log (+ (exp x) (exp (- x))))) (- (log 2) (log (+ (exp x) (exp (- x)))))) (- (log 2) (log (+ (exp x) (exp (- x))))))
258.0ms	(- (pow (log 2) 3) (pow (log (+ (exp x) (exp (- x)))) 3))
256.0ms	(- (log 2) (log (+ (pow (exp x) 3) (pow (exp (- x)) 3))))
253.0ms	(- (log 2) (log (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))))

prune569.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/45 (* x x))
0.2b	(* (* x x) (- 1/12 (* 1/45 (* x x))))
0.0b	(* (* x x) (- (* (* x x) (- 1/12 (* 1/45 (* x x)))) 1/2))
0.0b	(- 1/12 (* 1/45 (* x x)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-sqr-sqrt`
9×	`sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate--l+`
7×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-l`
4×	`associate-*r/` `insert-posit16`
3×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`diff-log`

Counts

4 → 93

Calls

4 calls:

Slowest

101.0ms	(* (* x x) (- (* (* x x) (- 1/12 (* 1/45 (* x x)))) 1/2))
27.0ms	(* 1/45 (* x x))
26.0ms	(* (* x x) (- 1/12 (* 1/45 (* x x))))
9.0ms	(- 1/12 (* 1/45 (* x x)))

series349.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

152.0ms	(* (* x x) (- 1/12 (* 1/45 (* x x))))
89.0ms	(* (* x x) (- (* (* x x) (- 1/12 (* 1/45 (* x x)))) 1/2))
80.0ms	(- 1/12 (* 1/45 (* x x)))
28.0ms	(* 1/45 (* x x))

simplify21.2s

Counts

123 → 105

Calls

123 calls:

Slowest

743.0ms	(* x (- (* (* x x) (- 1/12 (* 1/45 (* x x)))) 1/2))
606.0ms	(* (* x x) (- (* (- (* 1/45 (* x x))) (* x x)) 1/2))
555.0ms	(* (- (* (- (* 1/45 (* x x))) (* x x)) 1/2) (* x x))
532.0ms	(* (* x x) (- (* (- (* 1/45 (* x x))) (* x x)) 1/2))
512.0ms	(- (* 1/12 (pow x 4)) (+ (* 1/2 (pow x 2)) (* 1/45 (pow x 6))))

prune909.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample742.0ms

Algorithm

intervals

Results

619.0ms

8000×

body

valid