Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

324×

body

valid

simplify340.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	49	9
5	56	9
6	62	9
7	79	9
8	106	9
9	130	9
10	164	9
11	192	9
12	205	9
13	214	9
done	214	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(+ (* x y) (* (- x 1.0) z))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

24.0ms	(* (- x 1.0) z)
22.0ms	(+ (* x y) (* (- x 1.0) z))

series101.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* (- x 1.0) z)
49.0ms	(+ (* x y) (* (- x 1.0) z))

simplify2.3s

Counts

39 → 39

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	71	405
1	187	373
2	675	345
3	2946	345
done	5000	345

prune130.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
3.5b	(* (- (* x x) (* 1.0 1.0)) z)
6.2b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `frac-2neg` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

38.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
54.0ms	(* (- (* x x) (* 1.0 1.0)) z)
44.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series226.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
57.0ms	(* (- (* x x) (* 1.0 1.0)) z)
103.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify1.4s

Counts

68 → 68

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	123	1163
1	367	1082
2	1508	948
done	5000	764

prune181.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ z y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

21.0ms

(* x (+ z y))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* x (+ z y))

simplify4.1s

Counts

26 → 26

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	46	194
1	126	183
2	382	163
3	1297	163
4	4258	163
done	5000	163

prune63.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample825.0ms

Algorithm

intervals

Results

542.0ms

10054×

body

valid