Details

sample66.0ms

Algorithm

intervals

Results

42.0ms

722×

body

valid

simplify7.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	18	8
2	41	8
3	102	8
4	224	8
5	377	8
6	592	8
7	1228	8
8	3476	8
done	5000	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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×	`expm1-log1p-u` `frac-times` `associate-r/` `associate-l/` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

2 → 64

Calls

2 calls:

15.0ms	(* (cosh x) (/ y x))
14.0ms	(/ (* (cosh x) (/ y x)) z)

series266.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(* (cosh x) (/ y x))
141.0ms	(/ (* (cosh x) (/ y x)) z)

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: 2 (266.0ms)

Iter	Nodes	Cost
0	141	739
1	338	701
2	1303	600
done	5000	600

prune243.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (cosh x) (/ x (/ y z)))
5.5b	(/ x (/ y z))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

471×	`times-frac`
229×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
57×	`associate-/r*`
22×	`div-inv`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
6×	`associate-/r/` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`cosh-def` `associate-/l/`

Counts

2 → 271

Calls

2 calls:

33.0ms	(/ (cosh x) (/ x (/ y z)))
9.0ms	(/ x (/ y z))

series179.0ms

Counts

2 → 6

Calls

2 calls:

153.0ms	(/ (cosh x) (/ x (/ y z)))
26.0ms	(/ x (/ y z))

simplify2.4s

Counts

277 → 277

Iterations

Useful iterations: 2 (1.0s)

Iter	Nodes	Cost
0	491	4840
1	1072	4447
2	4395	4295
done	5001	4295

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

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))))) (* x z))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log` `add-cbrt-cube`
12×	`prod-exp` `cbrt-unprod`
8×	`pow1` `associate-*r/`
7×	`*-un-lft-identity`
6×	`cbrt-undiv` `div-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `associate-l` `pow-prod-down` `flip-+` `log1p-expm1-u`
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 → 72

Calls

3 calls:

13.0ms	(+ (exp x) (exp (- x)))
57.0ms	(* y (* 1/2 (+ (exp x) (exp (- x)))))
88.0ms	(/ (* y (* 1/2 (+ (exp x) (exp (- x))))) (* x z))

series231.0ms

Calls

2 calls:

75.0ms	(* y (* 1/2 (+ (exp x) (exp (- x)))))
138.0ms	(/ (* y (* 1/2 (+ (exp x) (exp (- x))))) (* x z))