Details

sample17.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify27.0ms

Calls

1 calls:

Slowest

27.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

8.0ms	(+ (exp x) (exp (- x)))
6.0ms	(/ 2 (+ (exp x) (exp (- x))))

series75.0ms

Calls

2 calls:

Slowest

44.0ms	(/ 2 (+ (exp x) (exp (- x))))
32.0ms	(+ (exp x) (exp (- x)))

simplify570.0ms

Calls

16 calls:

Slowest

213.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
101.0ms	(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
29.0ms	(* (exp (exp x)) (exp (exp (- x))))
26.0ms	(+ (exp x) (exp (- x)))
25.0ms	(/ 2 (+ (exp (* -1 x)) (exp x)))

prune243.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
12×	`associate-/r*`
10×	`associate-/r/`
9×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`flip3-+` `flip-+` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `distribute-lft-out`
1×	`pow2` `frac-times` `pow-plus` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `pow-prod-up` `cbrt-unprod`

Calls

4 calls:

Slowest

5.0ms	(* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))))
4.0ms	(/ 2 (+ (exp x) (exp (- x))))
3.0ms	(/ 2 (+ (exp x) (exp (- x))))
3.0ms	(/ 2 (+ (exp x) (exp (- x))))

series136.0ms

Calls

4 calls:

Slowest

41.0ms	(* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x)))))
35.0ms	(/ 2 (+ (exp x) (exp (- x))))
30.0ms	(/ 2 (+ (exp x) (exp (- x))))
30.0ms	(/ 2 (+ (exp x) (exp (- x))))

simplify3.3s

Calls

50 calls:

Slowest

256.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
248.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
247.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
246.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
212.0ms	(/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

24.2b	(* (- 1 (fma -2/3 (pow x 4) (* x x))) (/ 2 (+ (exp x) (exp (- x)))))
16.4b	(fma -2/3 (pow x 4) (* x x))
0.0b	(cbrt (* (- 1 (fma -2/3 (pow x 4) (* x x))) (/ 2 (+ (exp x) (exp (- x))))))
0.0b	(/ 2 (+ (exp x) (exp (- x))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log`
5×	`cbrt-div`
4×	`expm1-log1p-u` `frac-times` `associate-/r` `flip3--` `associate-l/` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`associate-l`
2×	`flip3-+` `associate-*r/` `flip-+` `div-inv`
1×	`cbrt-prod` `clear-num` `frac-2neg` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out`

Calls

4 calls:

Slowest

11.0ms	(* (- 1 (fma -2/3 (pow x 4) (* x x))) (/ 2 (+ (exp x) (exp (- x)))))
7.0ms	(/ 2 (+ (exp x) (exp (- x))))
6.0ms	(cbrt (* (- 1 (fma -2/3 (pow x 4) (* x x))) (/ 2 (+ (exp x) (exp (- x))))))
0.0ms	(fma -2/3 (pow x 4) (* x x))

series382.0ms

Calls

4 calls:

Slowest

246.0ms	(cbrt (* (- 1 (fma -2/3 (pow x 4) (* x x))) (/ 2 (+ (exp x) (exp (- x))))))
68.0ms	(* (- 1 (fma -2/3 (pow x 4) (* x x))) (/ 2 (+ (exp x) (exp (- x)))))
37.0ms	(fma -2/3 (pow x 4) (* x x))
31.0ms	(/ 2 (+ (exp x) (exp (- x))))

simplify8.4s

Calls

42 calls:

Slowest

887.0ms	(* (* (* (- 1 (fma -2/3 (pow x 4) (* x x))) (- 1 (fma -2/3 (pow x 4) (* x x)))) (- 1 (fma -2/3 (pow x 4) (* x x)))) (* (* (/ 2 (+ (exp x) (exp (- x)))) (/ 2 (+ (exp x) (exp (- x))))) (/ 2 (+ (exp x) (exp (- x))))))
760.0ms	(cbrt (* (- (* 1 1) (* (fma -2/3 (pow x 4) (* x x)) (fma -2/3 (pow x 4) (* x x)))) 2))
483.0ms	(* (+ 1 (fma -2/3 (pow x 4) (* x x))) (+ (exp x) (exp (- x))))
462.0ms	(- (+ (* (cbrt 2) (exp (* 1/3 (- (log (/ 2/3 (+ (exp x) (exp (- x))))) (* 4 (log (/ 1 x))))))) (* 1/4 (/ (* (cbrt 2) (exp (* 1/3 (- (log (/ 2/3 (+ (exp x) (exp (- x))))) (* 4 (log (/ 1 x))))))) (pow x 4)))) (* 1/2 (/ (* (cbrt 2) (exp (* 1/3 (- (log (/ 2/3 (+ (exp x) (exp (- x))))) (* 4 (log (/ 1 x))))))) (pow x 2))))
437.0ms	(- (+ (* 2 (/ 1 (+ (exp (* -1 x)) (exp x)))) (* 4/3 (/ (pow x 4) (+ (exp (* -1 x)) (exp x))))) (* 2 (/ (pow x 2) (+ (exp (* -1 x)) (exp x)))))

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch2.0ms

end0.0ms

sample649.0ms

Algorithm

intervals

Results

565.0ms

8000×

body

valid