Details

sample48.0ms

Algorithm

intervals

Results

26.0ms

750×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	178
1	18	178
2	39	178
3	84	178
4	183	178
5	308	178
6	751	178
7	2733	178
done	5001	178

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ y x))
7.3b	(/ (* (cosh x) (/ y x)) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

1.0ms	(cosh x)
15.0ms	(* (cosh x) (/ y x))
10.0ms	(/ (* (cosh x) (/ y x)) z)

series380.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(cosh x)
138.0ms	(* (cosh x) (/ y x))
182.0ms	(/ (* (cosh x) (/ y x)) z)

simplify2.0s

Counts

77 → 77

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	150	18512
1	377	16969
2	1402	16069
done	5001	15829

prune402.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ y x))
7.4b	(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
29×	`add-cbrt-cube`
26×	`associate-r`
23×	`add-sqr-sqrt`
22×	`prod-exp`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
12×	`cbrt-unprod`
11×	`div-exp`
10×	`pow1`
7×	`cosh-def`
6×	`frac-times` `cbrt-undiv` `associate-*l/`
4×	`associate-l` `pow-prod-down` `associate-*r/`
3×	`rec-exp` `1-exp` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`un-div-inv`

Counts

3 → 92

Calls

3 calls:

1.0ms	(cosh x)
11.0ms	(* (cosh x) (/ y x))
44.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

series380.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(cosh x)
132.0ms	(* (cosh x) (/ y x))
181.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

simplify3.0s

Counts

101 → 101

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	192	29008
1	532	24871
2	2003	22576
done	5000	21734

prune515.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (cosh x))
0.0b	(cosh x)
0.0b	(/ (* y (cosh x)) z)
6.3b	(/ (/ (* y (cosh x)) z) x)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
26×	`add-sqr-sqrt`
24×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `associate-/r*` `div-inv`
4×	`add-log-exp`
3×	`cosh-def` `associate-r` `associate-l` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-*r/` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

16.0ms	(* y (cosh x))
2.0ms	(cosh x)
16.0ms	(/ (* y (cosh x)) z)
19.0ms	(/ (/ (* y (cosh x)) z) x)

series452.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* y (cosh x))
81.0ms	(cosh x)
144.0ms	(/ (* y (cosh x)) z)
144.0ms	(/ (/ (* y (cosh x)) z) x)

simplify2.0s

Counts

109 → 109

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	183	28523
1	464	26534
2	1533	25383
done	5000	25023

prune557.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) x)
0.0b	(/ 1/2 (exp x))
0.3b	(* (/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) x) y)
7.3b	(/ (* (/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) x) y) z)

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `times-frac`
32×	`*-un-lft-identity` `add-cube-cbrt`
22×	`add-cbrt-cube`
21×	`add-exp-log`
16×	`associate-l`
11×	`div-inv`
9×	`associate-/r*`
8×	`associate-/l*`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out`
6×	`pow1`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-/l/`
2×	`associate-*l/` `unswap-sqr`
1×	`flip3-+` `pow-prod-down` `*-commutative` `flip-+`

Counts

4 → 119

Calls

4 calls:

71.0ms	(/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) x)
5.0ms	(/ 1/2 (exp x))
80.0ms	(* (/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) x) y)
29.0ms	(/ (* (/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) x) y) z)

series435.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) x)
21.0ms	(/ 1/2 (exp x))
101.0ms	(* (/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) x) y)
178.0ms	(/ (* (/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) x) y) z)

simplify217.0ms

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	213	43209