Details

sample29.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify33.0ms

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

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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

15.0ms	(/ 2 (+ (exp x) (exp (- x))))
13.0ms	(+ (exp x) (exp (- x)))

series88.0ms

Calls

2 calls:

Slowest

47.0ms	(/ 2 (+ (exp x) (exp (- x))))
41.0ms	(+ (exp x) (exp (- x)))

simplify1.9s

Calls

42 calls:

Slowest

458.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
220.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
130.0ms	(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))
122.0ms	(/ 2 (+ (exp (* -1 x)) (exp x)))
76.0ms	(+ (exp (* -1 x)) (exp x))

prune468.0ms

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)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`times-frac`
21×	`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×	`log-prod` `flip3-+` `flip-+` `insert-posit16` `associate-/l*`
2×	`rem-log-exp` `div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp`

Calls

3 calls:

Slowest

38.0ms	(log (exp (/ 2 (+ (exp x) (exp (- x))))))
15.0ms	(/ 2 (+ (exp x) (exp (- x))))
11.0ms	(+ (exp x) (exp (- x)))

series133.0ms

Calls

3 calls:

Slowest

50.0ms	(log (exp (/ 2 (+ (exp x) (exp (- x))))))
43.0ms	(/ 2 (+ (exp x) (exp (- x))))
40.0ms	(+ (exp x) (exp (- x)))

simplify3.1s

Calls

67 calls:

Slowest

510.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
223.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
213.0ms	(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
140.0ms	(/ 2 (+ (exp (* -1 x)) (exp x)))
127.0ms	(- (+ (* 5/24 (pow x 4)) 1) (* 1/2 (pow x 2)))

prune876.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

286×	`add-sqr-sqrt`
183×	`associate-l`
158×	`unswap-sqr`
134×	`pow1`
120×	`*-un-lft-identity`
113×	`swap-sqr`
57×	`associate-r`
50×	`*-commutative`
48×	`add-cube-cbrt`
40×	`distribute-lft-out`
36×	`pow-prod-down` `pow-prod-up`
35×	`add-exp-log`
34×	`add-cbrt-cube`
22×	`pow-sqr`
21×	`prod-exp` `cbrt-unprod`
18×	`pow-plus`
16×	`log-pow`
15×	`exp-prod`
13×	`pow2`
9×	`add-log-exp`
7×	`log-prod`
4×	`+-commutative` `associate-+r+` `exp-sum` `insert-posit16`
3×	`sum-log`
2×	`rem-log-exp`
1×	`flip3-+` `flip-+`

Calls

4 calls:

Slowest

1.6s	(log (exp (+ (* (* (* x x) (* x x)) 5/24) (+ 1 (* -1/2 (* x x))))))
439.0ms	(+ (* (* (* x x) (* x x)) 5/24) (+ 1 (* -1/2 (* x x))))
208.0ms	(* (* (* x x) (* x x)) 5/24)
34.0ms	(* (* x x) (* x x))

series294.0ms

Calls

4 calls:

Slowest

81.0ms	(log (exp (+ (* (* (* x x) (* x x)) 5/24) (+ 1 (* -1/2 (* x x))))))
79.0ms	(+ (* (* (* x x) (* x x)) 5/24) (+ 1 (* -1/2 (* x x))))
70.0ms	(* (* (* x x) (* x x)) 5/24)
62.0ms	(* (* x x) (* x x))

simplify20.2s

Calls

396 calls:

Slowest

529.0ms	(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x))) (* (* 5/24 5/24) 5/24))
492.0ms	(* (* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x))) (* (* 5/24 5/24) 5/24))
482.0ms	(* (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (* (* 5/24 5/24) 5/24))
416.0ms	(log (exp (+ (* (* (* x x) (* x x)) 5/24) (* -1/2 (* x x)))))
394.0ms	(* (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))) (* (* 5/24 5/24) 5/24))

prune3.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

975.0ms

8000×

body

valid