Details

sample42.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify7.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	367
1	31	367
2	52	367
3	71	367
4	94	367
5	105	367
6	118	367
7	156	367
8	207	367
9	254	367
10	309	367
11	453	367
12	737	367
13	1809	367
14	3988	367
done	5001	367

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
16.8b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite134.0ms

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-*r/` `associate-/r/` `difference-of-squares` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3--` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

8.0ms	(+ 2.30753 (* x 0.27061))
89.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
13.0ms	(* x (+ 0.99229 (* x 0.04481)))
20.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series404.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ 2.30753 (* x 0.27061))
128.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
102.0ms	(* x (+ 0.99229 (* x 0.04481)))
109.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.3s

Counts

91 → 91

Iterations

Useful iterations: 2 (964.0ms)

Iter	Nodes	Cost
0	172	32323
1	467	28754
2	1577	28190
done	5005	28190

prune548.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
16.9b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
60×	`add-sqr-sqrt`
58×	`*-un-lft-identity` `add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`flip3-+` `div-exp` `flip-+`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-*r/` `associate-/l/`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 148

Calls

4 calls:

10.0ms	(+ 2.30753 (* x 0.27061))
22.0ms	(* x (+ 0.99229 (* x 0.04481)))
19.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
22.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ 2.30753 (* x 0.27061))
87.0ms	(* x (+ 0.99229 (* x 0.04481)))
66.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
72.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify345.0ms

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	268	75175