Details

sample26.0ms

Algorithm

intervals

Results

10.0ms	302×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	5×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	24	9
3	30	9
4	32	9
done	32	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

9.0ms	(* x (+ y z))
9.0ms	(+ (* x (+ y z)) (* z 5.0))

series54.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* x (+ y z))
29.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify988.0ms

Counts

42 → 42

Iterations

Useful iterations: 3 (235.0ms)

Iter	Nodes	Cost
0	72	422
1	222	386
2	656	358
3	2152	356
done	5001	356

prune79.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (+ x 5.0))
0.0b	(+ (* y x) (* z (+ x 5.0)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

9.0ms	(* z (+ x 5.0))
3.0ms	(+ (* y x) (* z (+ x 5.0)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* z (+ x 5.0))
30.0ms	(+ (* y x) (* z (+ x 5.0)))

simplify1.1s

Counts

42 → 42

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	72	422
1	220	384
2	725	356
3	2482	356
done	5000	356

prune80.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
3.4b	(* z (- (* x x) (* 5.0 5.0)))
5.7b	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

9.0ms	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
10.0ms	(* z (- (* x x) (* 5.0 5.0)))
10.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series222.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
61.0ms	(* z (- (* x x) (* 5.0 5.0)))
91.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify463.0ms

Counts

74 → 74

Iterations

Useful iterations: done (461.0ms)

Iter	Nodes	Cost
0	142	1242
1	406	1165
2	1459	1015
done	5001	1013

prune167.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y x) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
0.3b	(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
7.8b	(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
123×	`add-sqr-sqrt` `*-un-lft-identity`
81×	`add-cube-cbrt`
47×	`difference-of-squares`
30×	`associate-/r*`
21×	`distribute-lft-out--`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+`

Counts

3 → 179

Calls

3 calls:

32.0ms	(+ (* y x) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
13.0ms	(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
13.0ms	(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ (* y x) (/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0)))))
92.0ms	(/ z (/ (- x 5.0) (- (* x x) (* 5.0 5.0))))
48.0ms	(/ (- x 5.0) (- (* x x) (* 5.0 5.0)))

simplify220.0ms

Iterations

Useful iterations: 1 (65.0ms)

Iter	Nodes	Cost
0	315	4354
1	792	4075