Details

sample37.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5141
14	3335
13	1795
12	1168
11	845
10	504
9	247
8	169
7	139
6	109
5	86
4	77
3	58
2	33
1	22
0	14

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
14.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`pow1`
4×	`flip3-+` `flip-+`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`associate-*l/` `associate-/r/` `difference-of-squares` `associate-/l/`
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` `div-inv` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

27.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
8.0ms	(+ 0.99229 (* x 0.04481))
25.0ms	(* (+ 0.99229 (* x 0.04481)) x)
42.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
43.0ms	(+ 0.99229 (* x 0.04481))
79.0ms	(* (+ 0.99229 (* x 0.04481)) x)
84.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.5s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1557
1	427
0	170

prune476.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.4b	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
13.6b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite70.0ms

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×	`flip3-+` `associate-l` `flip-+` `add-log-exp`
5×	`prod-exp`
4×	`div-exp` `associate-*l/` `associate-/r/` `unswap-sqr`
3×	`associate-/r` `cbrt-unprod` `associate-/l`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `associate-*r/` `un-div-inv` `pow-flip` `inv-pow`

Counts

4 → 106

Calls

4 calls:

8.0ms	(+ 0.99229 (* x 0.04481))
14.0ms	(* (+ 0.99229 (* x 0.04481)) x)
9.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
34.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series319.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ 0.99229 (* x 0.04481))
91.0ms	(* (+ 0.99229 (* x 0.04481)) x)
56.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
104.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify1.7s

Counts

118 → 118

Iterations

Iter	Nodes
done	5002
2	1977
1	551
0	203

prune641.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify6.0ms

Iterations

Iter	Nodes
done	25
1	25
0	16

end0.0ms

sample945.0ms

Algorithm

intervals

Results

729.0ms

8000×

body

valid