Details

sample29.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	274
1	15	274
2	22	274
done	22	274

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.8b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

9.0ms	(* 1.1283791670955126 (exp z))
35.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
9.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
24.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 1.1283791670955126 (exp z))
54.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
71.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
110.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify3.0s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	141	26405
1	343	24233
2	1042	23843
3	3277	23763
done	5001	23763

prune423.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
0.5b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
1.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.4b	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-/r` `flip3--` `associate-l` `flip--` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 94

Calls

4 calls:

7.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
27.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
13.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
77.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series693.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
112.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
84.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
434.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify175.0ms

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	166	38859