Details

sample41.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	19
1	31	19
2	52	19
3	74	19
4	102	19
5	112	19
6	123	19
7	161	19
8	216	19
9	264	19
10	332	19
11	505	19
12	784	19
13	3987	19
done	5000	19

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
14.7b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

6.0ms	(+ 0.99229 (* x 0.04481))
74.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
38.0ms	(* x (+ 0.99229 (* x 0.04481)))
28.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series270.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ 0.99229 (* x 0.04481))
89.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
70.0ms	(* x (+ 0.99229 (* x 0.04481)))
71.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.1s

Counts

91 → 91

Iterations

Useful iterations: 2 (295.0ms)

Iter	Nodes	Cost
0	172	1656
1	469	1586
2	2021	1480
done	5000	1480

prune297.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.7b	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.8b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `prod-exp` `flip-+`
4×	`div-exp` `associate-/r/` `unswap-sqr`
3×	`associate-r/` `associate-/r` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `pow-flip` `frac-2neg` `distribute-lft-in` `diff-log` `clear-num` `un-div-inv` `flip--` `inv-pow`

Counts

4 → 109

Calls

4 calls:

18.0ms	(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
25.0ms	(* x (+ 0.99229 (* x 0.04481)))
24.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
42.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series336.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
87.0ms	(* x (+ 0.99229 (* x 0.04481)))
41.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
85.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify2.1s

Counts

121 → 121

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	218	2304
1	629	2143
2	3314	1868
done	5000	1866

prune438.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	21
1	28	21
done	28	21

end0.0ms

sample906.0ms

Algorithm

intervals

Results

712.0ms

8000×

body

valid