Details

sample17.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify24.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

24.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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`

Counts

2 → 54

Calls

2 calls:

Slowest

21.0ms	(/ 2 (+ (exp x) (exp (- x))))
15.0ms	(+ (exp x) (exp (- x)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

49.0ms	(/ 2 (+ (exp x) (exp (- x))))
36.0ms	(+ (exp x) (exp (- x)))

simplify1.5s

Counts

44 → 60

Calls

44 calls:

Slowest

205.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
132.0ms	(/ 2 (+ (exp (* -1 x)) (exp x)))
121.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
118.0ms	(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
51.0ms	(/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))

prune557.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

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`
5×	`add-cbrt-cube` `add-exp-log` `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×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `rem-log-exp`

Counts

3 → 87

Calls

3 calls:

Slowest

55.0ms	(log (exp (/ 2 (+ (exp x) (exp (- x))))))
16.0ms	(+ (exp x) (exp (- x)))
16.0ms	(/ 2 (+ (exp x) (exp (- x))))

series150.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

61.0ms	(log (exp (/ 2 (+ (exp x) (exp (- x))))))
56.0ms	(/ 2 (+ (exp x) (exp (- x))))
32.0ms	(+ (exp x) (exp (- x)))

simplify2.6s

Counts

68 → 96

Calls

68 calls:

Slowest

236.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
194.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
160.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
152.0ms	(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
136.0ms	(/ 2 (+ (exp (* -1 x)) (exp x)))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample716.0ms

Algorithm

intervals

Results

620.0ms

8000×

body

valid