Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	319×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

simplify55.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	28	9
3	42	9
4	47	9
done	47	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))

rewrite52.0ms

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:

36.0ms	(* x (+ y z))
14.0ms	(+ (* x (+ y z)) (* z 5.0))

series108.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* x (+ y z))
61.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify609.0ms

Counts

42 → 42

Iterations

Useful iterations: 2 (155.0ms)

Iter	Nodes	Cost
0	72	422
1	226	394
2	1000	358
done	5001	358

prune87.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

13.0ms	(+ (* (+ x 5.0) z) (* x y))
21.0ms	(* (+ x 5.0) z)

series90.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* (+ x 5.0) z) (* x y))
49.0ms	(* (+ x 5.0) z)

simplify685.0ms

Counts

38 → 38

Iterations

Useful iterations: 2 (127.0ms)

Iter	Nodes	Cost
0	67	398
1	191	368
2	805	340
done	5001	340

prune115.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

24.0ms	(+ (* (+ x 5.0) z) (* x y))
33.0ms	(* (+ x 5.0) z)

series103.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (* (+ x 5.0) z) (* x y))
46.0ms	(* (+ x 5.0) z)

simplify537.0ms

Counts

38 → 38

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	67	398
1	191	368
2	805	340
done	5001	340

prune101.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 5.0 5.0))
0.0b	(+ (/ (* (- (* x x) (* 5.0 5.0)) z) (- x 5.0)) (* x y))
2.7b	(* (- (* x x) (* 5.0 5.0)) z)
6.2b	(/ (* (- (* x x) (* 5.0 5.0)) z) (- x 5.0))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

9.0ms	(- (* x x) (* 5.0 5.0))
63.0ms	(+ (/ (* (- (* x x) (* 5.0 5.0)) z) (- x 5.0)) (* x y))
28.0ms	(* (- (* x x) (* 5.0 5.0)) z)
34.0ms	(/ (* (- (* x x) (* 5.0 5.0)) z) (- x 5.0))

series289.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* x x) (* 5.0 5.0))
100.0ms	(+ (/ (* (- (* x x) (* 5.0 5.0)) z) (- x 5.0)) (* x y))
64.0ms	(* (- (* x x) (* 5.0 5.0)) z)
83.0ms	(/ (* (- (* x x) (* 5.0 5.0)) z) (- x 5.0))

simplify1.8s

Counts

86 → 86

Iterations

Useful iterations: 2 (311.0ms)

Iter	Nodes	Cost
0	141	1372
1	411	1300
2	2286	1132
done	5001	1132

prune270.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	10	11
1	17	9
2	18	9
done	18	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

506.0ms	9825×	body	80	valid
51.0ms	134×	body	1280	valid
14.0ms	99×	body	640	valid
10.0ms	65×	body	320	valid
2.0ms	27×	body	160	valid