Details

sample43.0ms

Algorithm

intervals

Results

18.0ms

321×

body

valid

simplify461.0ms

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

prune4.0ms

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

rewrite43.0ms

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:

16.0ms	(+ (* x y) (* (- x 1.0) z))
26.0ms	(* (- x 1.0) z)

series95.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ (* x y) (* (- x 1.0) z))
38.0ms	(* (- x 1.0) z)

simplify2.9s

Counts

39 → 39

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	71	405
1	187	373
2	675	345
3	2963	345
done	5000	345

prune116.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
0.0b	(- (* x x) (* 1.0 1.0))
1.9b	(* (- (* x x) (* 1.0 1.0)) z)
5.5b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

40.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
8.0ms	(- (* x x) (* 1.0 1.0))
43.0ms	(* (- (* x x) (* 1.0 1.0)) z)
33.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series306.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
77.0ms	(- (* x x) (* 1.0 1.0))
74.0ms	(* (- (* x x) (* 1.0 1.0)) z)
69.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify1.4s

Counts

84 → 84

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	130	1337
1	377	1245
2	1517	1087
done	5001	903

prune266.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-+r+`
3×	`add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

15.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify1.3s

Counts

18 → 18

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	37	292
1	119	283
2	399	247
3	1712	247
done	5001	247

prune56.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	13	11
done	13	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

576.0ms

10100×

body

valid