Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	274
1	16	274
2	24	274
3	28	274
done	28	274

prune4.0ms

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)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/r` `fma-def` `associate-r` `associate-l` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
55.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
10.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
14.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series309.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 1.1283791670955126 (exp z))
62.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
105.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
123.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify3.2s

Counts

96 → 96

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	153	29101
1	372	26729
2	1134	26284
3	3855	26219
done	5003	26099

prune634.0ms

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))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `log1p-expm1-u`
3×	`associate-/r` `fma-def` `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-+` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 107

Calls

4 calls:

9.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
20.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
9.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
47.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series379.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
115.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
85.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
125.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify155.0ms

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	179	41965