Details

sample77.0ms

Algorithm

intervals

Results

45.0ms

722×

body

valid

simplify8.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	18	8
2	41	8
3	102	8
4	220	8
5	368	8
6	574	8
7	1186	8
8	3410	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
8.6b	(/ (* (cosh x) (/ y x)) z)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac` `associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `cosh-def` `prod-exp` `cbrt-unprod`
3×	`associate-l` `associate-/r*` `associate-/l/`
2×	`frac-times` `associate-r/` `associate-l/` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

2 → 60

Calls

2 calls:

24.0ms	(* (cosh x) (/ y x))
20.0ms	(/ (* (cosh x) (/ y x)) z)

series303.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(* (cosh x) (/ y x))
196.0ms	(/ (* (cosh x) (/ y x)) z)

simplify1.7s

Counts

66 → 66

Iterations

Useful iterations: 2 (225.0ms)

Iter	Nodes	Cost
0	137	707
1	331	670
2	1289	570
done	5000	570

prune199.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* y (* 1/2 (+ (exp x) (exp (- x)))))
7.3b	(/ (* y (* 1/2 (+ (exp x) (exp (- x))))) (* z x))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log` `add-cbrt-cube`
12×	`prod-exp` `cbrt-unprod`
8×	`pow1` `associate-*r/`
6×	`cbrt-undiv` `*-un-lft-identity` `div-exp`
5×	`add-log-exp`
4×	`distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `distribute-lft-in`
3×	`flip3-+` `associate-l` `pow-prod-down` `flip-+`
2×	`associate-/l/`
1×	`+-commutative` `frac-2neg` `times-frac` `associate-r` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

3 → 63

Calls

3 calls:

15.0ms	(+ (exp x) (exp (- x)))
57.0ms	(* y (* 1/2 (+ (exp x) (exp (- x)))))
93.0ms	(/ (* y (* 1/2 (+ (exp x) (exp (- x))))) (* z x))

series252.0ms

Calls

2 calls:

95.0ms	(* y (* 1/2 (+ (exp x) (exp (- x)))))
126.0ms	(/ (* y (* 1/2 (+ (exp x) (exp (- x))))) (* z x))