Details

sample44.0ms

Algorithm

intervals

Results

34.0ms

256×

body

valid

simplify18.0ms

Calls

1 calls:

Slowest

18.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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`

Calls

2 calls:

Slowest

28.0ms	(/ 2 (+ (exp x) (exp (- x))))
15.0ms	(+ (exp x) (exp (- x)))

series94.0ms

Calls

2 calls:

Slowest

52.0ms	(/ 2 (+ (exp x) (exp (- x))))
42.0ms	(+ (exp x) (exp (- x)))

simplify1.5s

Calls

44 calls:

Slowest

242.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
122.0ms	(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
121.0ms	(/ 2 (+ (exp (* -1 x)) (exp x)))
113.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
63.0ms	(+ (exp (* -1 x)) (exp x))

prune515.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.4b	(log (exp (/ 2 (+ (exp x) (exp (- x))))))
0.0b	(/ 2 (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
24×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`log-pow`
18×	`exp-prod`
8×	`distribute-lft-out`
6×	`add-exp-log`
5×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `log-prod` `fma-def` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`rem-log-exp` `div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp`

Calls

3 calls:

Slowest

36.0ms	(log (exp (/ 2 (+ (exp x) (exp (- x))))))
20.0ms	(+ (exp x) (exp (- x)))
16.0ms	(/ 2 (+ (exp x) (exp (- x))))

series139.0ms

Calls

3 calls:

Slowest

63.0ms	(log (exp (/ 2 (+ (exp x) (exp (- x))))))
39.0ms	(+ (exp x) (exp (- x)))
38.0ms	(/ 2 (+ (exp x) (exp (- x))))

simplify2.6s

Calls

69 calls:

Slowest

249.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
210.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
146.0ms	(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
145.0ms	(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
127.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

12.2b	(fma (* x x) -1/2 (fma 5/24 (* (* x x) (* x x)) 1))
0.5b	(log (exp (fma (* x x) -1/2 (fma 5/24 (* (* x x) (* x x)) 1))))
0.1b	(* (* x x) (* x x))
0.0b	(fma 5/24 (* (* x x) (* x x)) 1)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

116×	`pow1`
92×	`add-sqr-sqrt`
45×	`swap-sqr`
41×	`unswap-sqr`
36×	`pow-prod-up`
30×	`*-un-lft-identity`
29×	`associate-l`
27×	`associate-r`
26×	`add-cube-cbrt`
23×	`pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus`
17×	`add-exp-log` `*-commutative`
16×	`add-cbrt-cube`
13×	`pow2`
8×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log-prod` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod` `fma-udef`
2×	`rem-log-exp`
1×	`exp-sum`

Calls

4 calls:

Slowest

40.0ms	(* (* x x) (* x x))
5.0ms	(log (exp (fma (* x x) -1/2 (fma 5/24 (* (* x x) (* x x)) 1))))
0.0ms	(fma 5/24 (* (* x x) (* x x)) 1)
0.0ms	(fma (* x x) -1/2 (fma 5/24 (* (* x x) (* x x)) 1))

series300.0ms

Calls

4 calls:

Slowest

124.0ms	(fma 5/24 (* (* x x) (* x x)) 1)
83.0ms	(fma (* x x) -1/2 (fma 5/24 (* (* x x) (* x x)) 1))
52.0ms	(log (exp (fma (* x x) -1/2 (fma 5/24 (* (* x x) (* x x)) 1))))
42.0ms	(* (* x x) (* x x))

simplify6.0s

Calls

199 calls:

Slowest

698.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x)))
429.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x)))
387.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))
323.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x)))
258.0ms	(sqrt (fma (* x x) -1/2 (fma 5/24 (* (* x x) (* x x)) 1)))

prune1.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample768.0ms

Algorithm

intervals

Results

671.0ms

8000×

body

valid