Details

sample31.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify31.0ms

Calls

1 calls:

Slowest

30.0ms

(/ 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 2 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Calls

2 calls:

Slowest

40.0ms	(/ 2 (+ (exp x) (exp (- x))))
13.0ms	(+ (exp x) (exp (- x)))

series94.0ms

Calls

2 calls:

Slowest

48.0ms	(+ (exp x) (exp (- x)))
46.0ms	(/ 2 (+ (exp x) (exp (- x))))

simplify1.9s

Calls

42 calls:

Slowest

486.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
226.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
141.0ms	(/ 2 (+ (exp (* -1 x)) (exp x)))
96.0ms	(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
72.0ms	(/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))

prune469.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

122×	`*-un-lft-identity`
98×	`sqrt-prod`
90×	`add-sqr-sqrt` `times-frac`
62×	`add-cube-cbrt`
29×	`swap-sqr`
27×	`distribute-lft-out`
21×	`associate-r` `associate-l`
19×	`pow1`
12×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
9×	`unswap-sqr`
8×	`associate-/r*` `sqrt-pow1` `pow1/2`
7×	`flip3-+` `flip-+`
6×	`div-inv` `associate-/l*` `add-log-exp`
5×	`pow-prod-up`
4×	`sqrt-div` `insert-posit16`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`pow2` `frac-times` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Calls

4 calls:

Slowest

79.0ms	(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
26.0ms	(/ 2 (+ (exp x) (exp (- x))))
15.0ms	(/ 2 (+ (exp x) (exp (- x))))
9.0ms	(+ (exp x) (exp (- x)))

series284.0ms

Calls

4 calls:

Slowest

127.0ms	(* (sqrt (/ 2 (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
61.0ms	(/ 2 (+ (exp x) (exp (- x))))
60.0ms	(/ 2 (+ (exp x) (exp (- x))))
35.0ms	(+ (exp x) (exp (- x)))

simplify9.6s

Calls

228 calls:

Slowest

590.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
469.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
330.0ms	(- (+ (* 1/2 (pow (sqrt 2) 2)) (* 5/48 (* (pow (sqrt 2) 2) (pow x 4)))) (* 1/4 (* (pow (sqrt 2) 2) (pow x 2))))
246.0ms	(* (sqrt (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))))
239.0ms	(/ (pow (sqrt 2) 2) (+ (exp (* -1 x)) (exp x)))

prune2.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`swap-sqr` `distribute-lft-out`
21×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Calls

4 calls:

Slowest

94.0ms	(* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))))
15.0ms	(cbrt (/ 2 (+ (exp x) (exp (- x)))))
8.0ms	(cbrt (/ 2 (+ (exp x) (exp (- x)))))
7.0ms	(cbrt (/ 2 (+ (exp x) (exp (- x)))))

series1.1s

Calls

4 calls:

Slowest

299.0ms	(* (cbrt (/ 2 (+ (exp x) (exp (- x))))) (cbrt (/ 2 (+ (exp x) (exp (- x))))))
285.0ms	(cbrt (/ 2 (+ (exp x) (exp (- x)))))
248.0ms	(cbrt (/ 2 (+ (exp x) (exp (- x)))))
247.0ms	(cbrt (/ 2 (+ (exp x) (exp (- x)))))

simplify11.1s

Calls

199 calls:

Slowest

625.0ms	(* (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3) (cbrt 2))
577.0ms	(* (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3) (cbrt 2))
560.0ms	(* (pow (/ 1 (+ (exp x) (exp (- x)))) 1/3) (cbrt 2))
272.0ms	(* (cbrt (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (cbrt (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3)))))
242.0ms	(cbrt (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))))

prune2.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.0s

Algorithm

intervals

Results

926.0ms

8000×

body

valid